Question

19. A right cone has a radius of 5 cm, an altitude of 12 cm, and a slant height of 13 cm. Find its volume.

A. 314.2 cm3
B. 942.5 cm3
C. 300 cm3
D. 64.1 cm3

Answer 1

`314.2cm^3`

Explanation:

We use the formula below to find the volume:

`\pi r^2(h)/(3)`

Note:

• r represents the radius

• h represents the height of the cone

Simplify:

`\pi 5^2(12)/(3)`

Solve the exponent first, then multiply the fraction:

`\pi 5^2(12)/(3) \\\\ 5^2 = 25\\\\ 12/3 = 4\\\\ 25 * 4 = 100\\\\ 100\pi = 314.159`

Round:

314.15 -> 314.2

Our answer would be
`314.2cm^3`