Question

Can anybody help me on this

Answer 1

The correct answer is first option

96π inches²

Explanation:

Formula:-

Volume of cone = (1/3)πr²h

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

To find the volume of cone

Here, radius r = 6 inches

Height = 8 inches

Volume = (1/3)πr²h = (1/3)π * 6² * 8

= (1/3)π * 36 * 8 = 95π inches²

Therefore the correct answer is first option 96π inches²

Answer 2

The volume of the solid = 96π inches³

Explanation:

* The solid in the figure is a cone

* Lets revise the rule of the volume of the cone

- The volume of the cone formula is:

V = (1/3) × area of the base × its height

∵ The base of the cone is shaped circle

∵ Area of the circle = π r²

∵ The length of the radius = 6 inches

∴ The area of the base = π (6)² = 36π inches²

* Now we can find the volume of the cone

∵ The length of the height of the cone = 8 inches

∴ V = (1/3) × 36π × 8 = 96π inches³

* The volume of the solid = 96π inches³