Question

Please help me ASAP, thank you ^-^. The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π?

A 392π in³

B 408π in³

C 112π in³

D 117π in³

Answer 1

Answer: 392π in3

Explanation:

Answer 2

The volume of the cone in terms of π is:

A. 392π in³

Explanation:

The radius of the cone i.e. r is: 7 in.

and the slant height of the cone i.e. l=y=25 in.

and let h=x be the height of the cone.

Now, using the Pythagorean Theorem we have:

`l^2=r^2+h^2\\\\i.e.\\\\h^2=l^2-r^2\\\\i.e.\\\\h^2=(25)^2-7^2\\\\i.e.\\\\h^2=625-49\\\\i.e.\\\\h^2=576\\\\i.e.\\\\h=√(576)\\\\i.e.\\\\h=24`

Hence, we get:

`h=x=25\ in.`

Now, the volume of the cone is given by:

`Volume=(1)/(3)\pi r^2h\\\\i.e.\\\\Volume=(1)/(3)*\pi* (7)^2* 24\\\\i.e.\\\\Volume=392\pi\ in^3`

Hence, the answer is: Option: A