Question

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The volume of ice-cream in a cone is half the volume of the cone. The cone has a 3cm radius and 14cm height. What is the depth of the ice-cream correct to two decimal places?

Answer 1

At first, tell me the formula of volume of a cone

Answer 2

1/3 x Area of base x height

Answer 3

Yep, and area of a base=pi r^2

Answer 4

Now, find the volume of a cone

Answer 5

Yeah, so it's 42pi .... Therefore, the volume of the ice-cream is 21pi.

Answer 6

But how am I supposed to find the depth of the ice-cream?

Answer 7

I guess thats wrong

Answer 8

volume of a cone = pi (r)^2 h = pi(3)^2 * 14=126pi

Answer 9

But the volume of a cone is 1/3 x area of base x height, so you need to divide 126pi by 3...

Answer 10

So you get 42pi as the volume of the cone, and 21pi as the volume of the ice-cream.

Answer 11

oh ya

Answer 12

my mistake

Answer 13

However, I am unsure how to calculate the depth of the ice-cream

Answer 14

no