Question

The figure is made up of a cylinder and a cone.

What is the volume of the figure?



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Answer 1

6375
`\pi` ft^3

Answer 2

Answer:
`51\pi\ ft^3`

Explanation:

From the given figure ,

Dimensions of cone : Height = 5 ft

Radius = 3 ft

The volume of cone is given by :

`V=(1)/(3)\pi r^2\ h`, where r is the radius and h is height of the cone .

`\Rightarrow V=(1)/(3)\pi (3)^2(5)=15\pi\ ft^3`

Dimensions of cylinder : Height = 4 ft

Radius = 3 ft

The volume of cylinder is given by :

`V=\pi r^2\ h`, where r is the radius and h is height of the cone .
`\Rightarrow V=\pi (3)^2(4)=36\pi\ ft^3`

Now, the total volume of the figure:
`15\pi+36\pi=51\pi\ ft^3`