Question

Note: Figure is not drawn to scale.

If h = 7 units and r = 3 units, then what is the volume of the cone shown above?

Answer 1

Given:-

• Height of cone = 7 units
• Radius of cone = 3 units

To find:

• Volume of Cone

We know:-

$\bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}$

So:-

$\leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h$

$\leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7$

$\leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7$

$\leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7$

$\leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7$

$\leadsto\sf Volume \: of \: Cone =\pi \times 21$

$\leadsto\bf Volume \: of \: Cone = 21\pi$

Therefore option C is correct.

Answer 2

The Volume of the cone is 21π cubic units

The volume of a cone

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

where:

r is the radius = 3 units

h is the height = 7units

The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7

Volume of the cone = 21π cubic units

Hence the Volume of the cone is 21π cubic units

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