Question

What is the volume of the color do not round the answer

Answer 1

Given:

There are given that cone and hemisphere:

Step-by-step explanation:

First, we need to find the radius of the cone,

(1):

From the given figure,

The radius of the cone is equal to the radius of the hemisphere.

So,

The radius of the cone is 3.

(2):

Volume of the cone is:

`\begin{gathered} V=(1)/(3)*\pi* r^2* h \\ =(1)/(3)*3.14*9*12 \\ =3.14*3*12 \\ =113.04in^3 \end{gathered}`

(3):

Volume of hemisphere is:

`\begin{gathered} V=(2)/(3)\pi r^3 \\ =(2)/(3)*3.14*27 \\ =2*3.14*9 \\ =56.52in^3 \end{gathered}`