Question

A cylinder and a cone have equal radii and equal height if the volume of cylinder is 27 cubic units find the volume of cone

Answer 1

Answer:

hey mate here is ur ans bro

Answer 2

$\text{ \bf \: Volume of cone} = \bf \red{ 9 \: {cm}^{3} }$

Given:

• A cylinder and a cone have equal radii and equal height.
• If the volume of cylinder is 27 cubic units.

To find:

• Find the volume of cone.

Solution:

Formula to be used:

• Volume of cone$= \frac{1}{3} \pi {r}^{2} h$
• Volume of cylinder $= \pi {r}^{2} h$

Step 1:

As radii and heights of both shapes are equal.

Let radii and heights of both shapes are r and h respectively.

Volume of cylinder = 27 cm³

Step 2:

Find volume of cone.

Volume of cone$= \frac{1}{3} \pi {r}^{2} h$

or

$\text{Volume of cone} = \frac{1}{3} \text{(Volume of cylinder)}$

or

$\text{Volume of cone} = \frac{27}{3}$

Thus,

$\text{\bf Volume of cone} \bf = 9 \: {cm}^{3}$

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