Answer:
The area of the base of the cylinder is 12.25π square inches. The volume of the cylinder is 147π cubic inches.
Explanation:
Area of the base of the cylinder:
We need to find the area of the circle on top of the cylinder which has a radius of 3.5 in. We know that:
A = πr^2
A = π × 3.5^2
= π × 12.25
= 12.25π square inches
Volume of the cylinder:
We know that the area of the base is 12.25π square inches. From the diagram, the height of the cylinder is 12 in.
V = Area of the base × height
= 12.25π square in × 12 in
= 147π cubic inches