# A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream

volume of cylinder = ( volume of cone + volume of hemisphere ) * number of cones

22/7 * 6 * 6 * 15 = 22/7 ( 1/3 * 3 * 3 * 12 + 2/3 * 3 * 3 * 3 ) * n

=> 36 * 15 = ( 36 + 18 ) * n

=> 540 = 54 * n

=> n = 540 / 54

=> n = 10

NUMBER OF SUCH CONES IS 10

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thanks anirudh

• 11
Correct answer is 80 Calculation done by anirudh is wrong
• -19 • 37 hope this helps u...
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Volume of the container =
• -2
correct

• -3
ACTULLY I GOT MY ANS AS 15 CONES
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For right circular cylinder
Diameter = 12 cm
Radius(R1) = 12/2= 6 cm & height (h1) = 15 cm
Volume of Cylindrical ice-cream container= πr1²h1= 22/7 × 6× 6× 15= 11880/7 cm³
Volume of Cylindrical ice-cream container=11880/7 cm³
For cone,
Diameter = 6 cm
Radius(r2) =6/2 = 3 cm & height (h2) = 12 cm
Volume of cone full of ice-cream= volume of cone + volume of hemisphere
= ⅓ πr2²h2 + ⅔ πr2³= ⅓ π ( r2²h2 + 2r2³)
= ⅓ × 22/7 (3²× 12 + 2× 3³)
= ⅓ × 22/7 ( 9 ×12 + 2 × 27)
= 22/21 ( 108 +54)
= 22/21(162)
= (22×54)/7
= 1188/7 cm³
Let n be the number of cones full of ice cream.
Volume of Cylindrical ice-cream container =n × Volume of one cone full with ice cream
11880/7 = n × 1188/7
11880 = n × 1188
n = 11880/1188= 10
n = 10
Hence, the required Number of cones = 10