Question

Find the diameter of a cylinder whose height is 5 cm and numerical value of volume is equal to numeric value of curved surface area​

Answer 1

Step-by-step explanation:

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Answer 2

Diameter of cylinder is 4 cm.

Given:

• Height of cylinder 5 cm.
• Volume and curved surface area of cylinder is equal.

To find:

• Find the diameter of the cylinder.

Solution:

Concept/formula to be used:

1. Volume of cylinder=$\bf \pi \: {r}^{2} \: h$
2. Curved surface area of cylinder= $\bf 2\pi \: rh$, here h: height and r: radius

Step 1:

Equate the volume and CSA of cylinder.

$\pi \: {r}^{2} h = 2\pi \: r \: h$

Cancel the common terms from both sides.

$\bf r = 2$

Thus,

The radius of cylinder is 2 cm.

Step 2:

Find the diameter of cylinder.

We know that,

$Diameter = 2 \times radius$

$Diameter = 2 \times 2$

$\bf Diameter = 4$

Thus,

Diameter of cylinder is 4 cm.

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