Question

Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone has a height of 9 in and a radius of 4 in.

What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use 3.14 to approximate pi. (Show your work.)

Answer 1

Answer: 284.7

Explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*
`\pi r^(3)`

=(1/2)*(4/3)*3.14*
`4^(3)` (4*4*4=64)

=133.97333

=133.97

volume of cone= (1/3)
`\pi r^(2)`h

=(1/3)*3.14*
`4^(2)`*9 (4*4=16)

=150.72

total volume=133.97+150.72

=284.69

=284.7