Question

The find the height of cylinder of radius 3.5 cm and total surface area is 968 cm

Answer 1

r =3.5cm
c.s.a = 968cm
h..?

Answer 2

The height of cylinder is 40.5 cm

Step-by-step explanation:

Radius of cylinder = 3.5 cm

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

                                                 = $2 \times \frac{22}{7} \times 3.5 \times h + 2 \times \frac{22}{7} \times 3.5^2$

We are given that total surface area of cylinder is 968 cm

$2 \times \frac{22}{7} \times 3.5 \times h + 2 \times \frac{22}{7} \times 3.5^2 = 968$

$h=\frac{968-2 \times \frac{22}{7} \times 3.5^2}{2 \times \frac{22}{7} \times 3.5}$

h=40.5 cm

Hence The height of cylinder is 40.5 cm

#Learn more:

Find the curved surface area and total surface area of a right circular cylinder whose height is 20 cm and radius of base is 3.5 cm.

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