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what is the formula of diagonal of cube and cuboid

P and Q are two cylinders having equal total surface areas.The radius of each cylinder is equal to the hieght of the other. The sum of the volumes of both the cylinders is

250π cm. Find the sum of their curved surface areas.^{3}(in cm.^{2})a semi circular sheet of metal of diameter 28 cm is bent to form a cone. find the capacity of the cone.

Three cubes whose edges measure 3cm,4cm,5cm respectively to form a single cube.Find its edge.Also find the surface area of the new cube.

Please check the solution attached in the image.

The solution given in the ncert solutions of Meritnation is wrong.

No links please.

The internal and external diameters of a hollow hemispherical vessel are 24 cm and 25 cm respecttively. If the cost of painting 1 sq.cm of the surface area is Rs. 0.05, find the total cost of painting the vessel all over.

Find the volume of the largest right circular cone that can be cut off from a cube whose

edge is 9 cm... use pie = 22/7

. The volumes of the two spheres are in the ratio 64: 27. Find the ratio of their surface area.

the ratio of curved surface area to the total surface area of right circular cylinder is 1:3. Find the volume of the cylinder if its total surface area is 1848cm

^{2}.[pie =22/7]The sum of length, breadth and depth of a cuboid is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboid.

The teacher asked the students to prepare a project work related to Diwali. Lipsa prepared 12 cylindrical candles each having radius of base 2cm and height 7cm. Himanshu prepared 14 fire crackers each of spherical shape of radius 1.54cm.

a) Find the volume of candles and firecrackers

b) According to you which has better project work and why?

c) Which message has been conveyed in the above information?

the volume of a metallic cylindrical pipe is 748 cm3. its length is 14cm n external radius is 9 cm. find its thickness.

what is the difference between a sphere and a spherical shell????

what is the difference between total surface area and curved surface area?

a cylindrical vessel has a hemispherical bottom. given that the radius of the hemisphere is 3.5 cm, calculate the level of water in it if 1309/6 cubic cm of water is poured into it.

a tent of shape of a right circular cylinder upto a height of 3m and then becomes a right circular conewith height of 13.5m above the ground calculate the cost of painting the inner side of the text at the rate of RS 2 PER Sq m if radius of the base is 14m

Cone

Sphere

Hemisphere

a solid metallic right circular cone 20 cm high with vertical angle 60 is cut into two parts at the middle point of its height by a plane parallel to the base. its frustum, so obtained be drawn into a wire if diameter 1/16 cm, find the length of the wire .

If each edge of a cube is increased by 50%,then find the percentage increase in its surface area ?

Q) In a flood hitted area, the volunteers of NSS erected a conical tent made of tarpaulin. The vertical height of the conical tent is 4 m and the base diameter is 6 m. If the width of tarpaulin is 1.5 m then

a) Find the length of the tarpaulin used, assuming that 10% extra material is required for stiching margins and wastage in cutting. ( Take pi = 3.14 )

b) Which value is depicted by the volunteers ?

A storage tank is in the form of a cube. When it is full of water, the volume of the water is

A cone, a hemisphere and a cylinder stand on equal bases and hve the same height , find the ratio of their volumes.

A rectangular water reservoir is 15 m by 12 m at the base water flows into it through a pipe whose cross-section 5 cm by 3 cm at the rate of 16 m/s. Find the height to which the water will raise in the reservoir in 25 minutes.A cone of height 24cm has a C.S.A 550m2 .Find its volume (pie =22/7)

the radius and height of a right circular cone are in the ratio 5:12 if its volume is 314cm find the slant height and curved surface area

the dimensions of a room are 8m * 6m * h . It was two doors each of size 2m * 1m and one almirah of size 3m * 2m . The cost of covering the walls by wall paper which is 40 cm wide at Rs.1.25 per m is Rs.362.50 . Find the height h.

the ratio of suface areas of two spheres is 25:49. find the ratio between their radii

a conical vessel whose internal radius is 5 cm and height 24 cm full of water.the water is emptied into a cylinderical vessel with internal radius 10 cm. find the height to which water rises?

the total surface area of a solid cylinder is 231 cm2 and its curved surface area is 2/3 of total surface area.Find the volume of the cylinder solution

find the volume of iron required to make an open box whose external dimensions are 36 cm*25cm*16.5cm,the box being 1.5cm throughout. if 1 cm3 of iron weighs 8.5 grams ,find the weight of the empty box in kilograms?

the dimensions of acuboid are in the ratio 3:2:2 and the lateral surface area of the cuboid is 200m

^{2}. the outer surface of cuboid is painted with enamel at the rate of @ 10 per m^{2}. find the total coast of painting the outer surface of cuboid .A metal pipe is 77cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its

(i)inner curved surface area

(ii)outer curved surface area

(iii)total surface area

the radius and height of a cone are in the ratio 4:3.tha area of the base is 154cm

^{2}.find the area of the curved surface area.Q.2.The dimension of a rectangular box are in the ratio 2:3:4 and the difference between the cost of covering it with a sheet of paper at the rate of Rs.4 and Rs.4.50 per square metre is Rs.416.Find the dimensions of the box.

Please check the solutions of these questions which is posted by me.

Kindly check it fast as tomorrow is my maths exam.

No links please.

WHAT IS THE VOLUME OF A HOLLOW HEMISPHERE

Plzzzz answer as soon as possible because I have exam tomorrow

The radius and slant height of a cone are in the ratio 4:7.If its curved surface area is 792cm

^{2},find its radiusA dome of a building is in the form of a hemisphere.From inside it was washed at the cost of Rs. 498.96 .If the cost of white washing is Rs. 2.00 per square metre,find the inside surface area of the dome and volume of the air inside the dome.

If the volume of a sphere is numerically equal to its surface area, then radius of the

A 20m deep well with diameter 7m is dug and the earth from digging is evenly spread out to form a platform 22m by14m.Find the heinght of the platform.

If the radius of a sphere is increased by 10 % , by how percent does the volume increase .

Given a cuboid of dimensions l = 6cm , b = 5cm , h = 4cm . How many cubes, each of side 2cm can be cut out from it ?

IS IT 15 CUBES ? PLZ ANS SOON :)

The surface area of a sphere of radius 5cm is five times the area of the curved surface of a cone of radius 4cm. Find the height and volume of the cone (pi = 22/7)

water in a canal 30dm wide and 12dm deep is flowing with a velocity of 20km/hr. How much area will it irrigate in 30 min if 9cm of standing water is desired ?

water flows out through a circular pipe whose internal diameter is 2cm at the rate of 0.8m/s into a cylindrical tank, the radius of whose base is 40cm. by how much will the level rise in one and half hour?

a rain water which falls on flat rectangular surface of lenth 6m , 4m is transferred into a cylendrical vessel of internal radius of 20cm . what will be the height of the water in the cylendrical vessel if rainfall is 1cm .

to form a cube and find the formula for its surface area experimentally

a copper wire of diameter 6mm is evenly wrapped on a cylinder of length 15cm and diameter 49cm to cover its whole surface . find the length and volume of the wire. if the specific gravity of copper be 9kg per cu cm , find the weight of the wire.

The total surface area of a solid right circular cylinder is 231 cm

^{2}. Its curved surface is ⅔^{rd}of the total surface. Determine the radius of its base and height.A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius

Find the length of the longest rod that can be placed in a room of dimensions 30m x 24m x 18m.

Q.10. A hollow garden roller which is 49 cm wide and has a girth of 176 cm is made of 2 cm thick iron cast. Find the volume of iron and weight of roller if 1 $c{m}^{3}$ of iron weighs 7.5 grams.

[

Hint:R $\underset{}{\to}$ external radius, 2$\mathrm{\pi}$R = 176]A sphere and a right circular cylinder of the same radius have equal volumes.By what percentage does the diameter of the cylinder exceed its height

Find the radius of solid sphere whose volume is 7241

^{1/7}cm^{3 .}A cylindrical tube open at both ends is made of iron sheet which is 2cm thick. If the outer diameter is 16cm and its length is 100cm , find how much cubic centimeters of iron have been used in making the tube?

volume of the cube to that of the sphere is.

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm, find the outer curved surface area of the bowl. (Take pie=3.14)

Since prices of mangoes decreased by 25% I can purchase 4 mangoes more for Rs. 60. What is the original price of one mango????

plzzz telll wid explanation????

A closed iron tank 12m long,9m wide and 4m deep is to be made .determine the cost of iron sheet used at the rate of rupees 50 per metre the sheet being 2m wide.

^{3}. Find the sum of their curved surface areas. (in cm^{2})a) 80*pi

b) 100*pi

c) 60*pi

d) 1208*pi

A sphere,cylinder,and cone are of the same radius and same height. Find the ratio of their curved surface area. please answer it

find what lenght of canvas 2m in wiedth is required to make a conical tent 12m in diameter and 6.3m in slant height.also find the cost of the canvas at the rate of Rs25 per meter

## A solid cube is cut into 2 cuboids of equal volumes. find the ratio of the total surface area of the given?

The external and internal diameters of a hollow hemispherical vessel are 12cm and 10cm respectively. The cost of painting is Rs2 per sq. cm. Find the cost of painting the vessel all over.

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical ball is dropped into the tub raising the level of water by 6.75 cm. What is the radius of the ball?

If the height of the cylinder is 21 cm then

a) What is the value of ' a ' ?

b) What is the curved surface area of a sphere ?

c) Which value is shown by Ashwini ?

A solid cube of side 12cm is cut into eight cubes of equal volume. wat will be the side of the new cube also . find the ratio between thier surface areas (surface area of 8new cubes and the original cube)?>

( urgent ans pls )What is a frustum. What is the total surface area, curved surface area and the volume of a frustum.Could yu give one or 2 examples.

A right circular cone of diameter r cm and height 12cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12cm. If the cone is then removed, find the to which the water level will fall.

a cube and cuboid have same volume. dimentions of cuboid are in the ratio 1:2:4. if the difference betwween the cost of polishingthe cube and the cuboid is at the rate of rs5 /m2 is rs 80, find the volumes

A conical tent is to accommodate 11 person.Each person must have 4m

^{2}of the space on the ground and 20m^{3}of air to breath.Find the height of the cone.A wall of length 10m was to be built across an open ground. The height of the wall is 4m and thickness of the wall is 24m. If this wall is to be built up with bricks whose dimensions are 24cm X 10cm X 8cm, how many bricks would be required?