Question

The volume and curved surface of a cylinder are equal numerically. If the height is 3 1/2 times the radius
of the base, find the radius.
​

Answer 1

Radius = 2

If volume and curved surface area of a cylinder are equal, the radius is always 2.

Even if any condition is given for height.

Prove:-

• Volume of cylinder = πr²h
• Curved surface area of cylinder = 2πrh

According to the question,

→ 2πrh = πr²h

$\rm\dashrightarrow 2= \dfrac{\pi r^2 h}{\pi rh}$

$\bf\dashrightarrow 2=r$

Hence, radius is 2 .

Answer 2

Answer:

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Step-by-step explanation:

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