Question

The circumference of a right circular cylinder is 440 cm and its height is 5 cm. of the cylinder.

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Answer 1

Answer:

Consider r as the radius as h as the height of cylinder

It is given that

Surface area of cylinder =2 πrh

By substituting the values

2 πrh=4400....(1)

It is given that circumferences of its base =2 πrh

So we get

2 πrh=110

We know that

2 πr

2 πrh

=

110

4400

On further calculation

h=40cm

Substituting the value of h in (1)

We get

2×

7

22

×r×40=4400

On further calculation r=

44×40

4400×7

So we get

r=17.5cm

We know that

Volume of cylinder =πr

2

h

By substituting the values

Volume of cylinder =

7

22

×(17.5)

2

×40

So we get

Volume of cylinder =38500 cm

3

Therefore, the height of the cylinder is 40cm and the volume is 38500 cm

3

.