Question

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?

45   cubic feet


60   cubic feet
90   cubic feet
180   cubic feet

Thank you :)

Answer 1

`45\pi\ ft^3`

Explanation:

The volume of the cone can be calculated using formula

`V_(cone)=(1)/(3)\cdot \pi r^2\cdot H,`

where
`r` is the radius of the base circle and
`H` is the height of the cone.

Since
`r=3\ ft` (half of the diameter given in the diagram) and
`H=15\ ft,` then

`V_(cone)=(1)/(3)\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.`

Answer 2

The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3