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 t

Question

2 years ago

12

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 t

o be filled into cons 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.

Mathematics

1 answer:

Papessa [141] · Answer 1 · 2022-01-19T00:15:29+03:00

Answer:

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You need 15 cones

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Step-by-step explanation:

A 12 cm by 15 cm cylinder is filled with ice cream. (Pi*Radius Squared* Height = volume of cylinder). 6 Squared * Pi * 15 = 1696.4 Cubic Centimetres of Ice Cream. The volume of the cone is calculated in almost the same way as a cylinder (One-Third*Pi*Radius Squared* Height= Vol. of cone). 12 cm * 9 cm * pi * 1/3 = 113.1 per Ice Cream Cone. Now we find out how many ice cream cones we need. 1696.4 / 113.1 = 14.999