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Syllabus

what is the formula of diagonal of cube and cuboid

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.

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 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 total surface area and curved surface area?

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

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 ?

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 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

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?

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.WHAT IS THE VOLUME OF A HOLLOW HEMISPHERE

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 .

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 .

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.

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

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?

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)

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.

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

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

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?

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)?>

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?