Question

Radius=5cm,Total surface area=120πcm^2 find the height of cylinder ​

Answer 1

Answer:

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Answer 2

The height of cylinder is 7 cm

Step-by-step explanation:

Radius of cylinder = 5 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 = $2 \pi (5)h + 2 \pi (5)^2 = 10\pi h + 50 \pi =10\pi(h+5)$

We are given that Total surface area of cylinder is 120π sq.cm.

So,$120 \pi = 10 \pi (h+5)$

120= 10(h+5)

12=h+5

12-5=h

7=h

Hence The height of cylinder is 7 cm

#Learn more:

Find height of a cylinder with a volume of 108pi. The radius of the cylinder is twice the height.

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