Question

If h = 7 units and r = 2 units, then what is the approximate volume of the cone shown above?

A. 32.67pi cubic units

B. 28pi cubic units

C. 9.33pi cubic units

D. 18pi cubic units

Answer 1

The correct answer option is C. 9.33pi cubic units.

Explanation:

We are given the height of a cone to be 7 units and its radius to be 2 units and we are to find its volume.

We know the formula for the volume of a cone.

Volume of a cone =
`\pi r^2(h)/(3)`

So substituting the given values in the above formula:

Volume of the cone shown =
`\pi` ×
`2^2` ×
`(7)/(3)` = 9.33 pi cubic units

Answer 2

Option C. 9.33π cubic units is the right answer.

Explanation:

As we know the formula to calculate the volume of a cone is

`V=(1)/(3) \pi r^(2)h`

In which r = radius of the base of the cone

h = height of the cone

Now by putting these values in the formula

`Volume=(1)/(3)(3.14)(2)^(2)(7)`

=
`(1)/(3)(\pi )(28) = (28)/(3)\pi = 9.33\pi cubic units`

So the volume of the given cone is 9.33π cubic units.