Find the volume and surface area of the composite figure. Give your answer in terms of pi PLS HELP

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

Where, r is the radius and h is the height of the cone.

Putting in the above formula, we get

Volume of the hemisphere is:

Where, r is the radius.

Putting , we get

Now, the volume of the composite figure is:

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

Where, r is the radius and h is the height of the cone.

Putting in the above formula, we get

The curved surface area of the hemisphere is:

Where, r is the radius.

Putting , we get

Total surface area of the composite figure is:

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.