Question

Find the height of the cylinder whose radius is 10 cm and total surface area is 2420 cm2

Answer 1

r= 10cm
c.s.a = 2420cm
h..?

Answer 2

The height of cylinder is 28.5 cm

Step-by-step explanation:

Radius of cylinder = 10 cm

Let the height of cylinder be h

Total surface area of cylinder = $2 \pi rh + 2 \pi r^2$

Total surface area of cylinder = $2 \times \frac{22}{7} \times 10 \times h + 2 \times \frac{22}{7} \times 10^2$

We are given that Total surface area is 2420 sq.cm.

So,$2 \times \frac{22}{7} \times 10 \times h + 2 \times \frac{22}{7} \times 10^2 =2420\\2 \times \frac{22}{7} \times 10(h+10)=2420\\h+10=\frac{2420 \times 7}{2 \times 22 \times 10}\\h =\frac{2420 \times 7}{2 \times 22 \times 10}-10\\h = 28.5 cm$

Hence The height of cylinder is 28.5 cm

#Learn more:

Find the radius of a cylinder whose height is 42 cm and whose curved surface area is 8448 cm2

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