Question

The c.s.a of cylinder is 17600cm2, and its circumference of base is 220cm. Find volume of cylinder and height of the cylinder

Answer 1

Step-by-step explanation:

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Answer 2

Answer ⤵️

In the Question it is given that the base of the cylinder's circumference is 220 cm. And we know that base of the cylinder is a circle

So,

Circumference= 2πr.

220 = 2πr

r= 220×7/2×22

r= 5×7

r= 35 cm

So the radius of the cylinder is 35 cm

C.S.A= 2πrh. [Let its height be x.]

$2 \times \frac{22}{7} \times 35 \times x \\17600 = 2 \times 22 \times 5 \times x \\ 17600 = 220 \times x \\ x = \frac{17600}{220} \\ = 80 \: \: \:$

So its height is 80 cm

Volume of the cylinder= πr²h

$\frac{22}{7} \times 35 \times 35 \times 80 \\ = 22 \times 5 \times 35 \times 80 \\ = 308000 \: \: \: {cm}^{3}$

So the volume of the cylinder is 308000 cm³ and the height is 80 cm.

Step-by-step explanation:

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