Question

The capacity of a cylindrical reservoir is 176 m3
. If the diameter of the base of the reservoir is 8m,
find the height of the reservoir.

Answer 1

Answer:

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Answer 2

Answer:

Volume of a frustum of a cone =

3

1

πh(R

2

+r

2

+Rr)

Where h is the height and R and r are the radii of the upper and lower ends of a frustum of a cone.

Height h=6 m

Since, the reservoir is 8 m across the top, upper radius R=4 m

Similarly, lower radius r=2m

So, volume of the reservoir =

3

1

×

7

22

×6(4

2

+2

2

+4×2) m

3

=

7

22

×2(16+4+8) m

3

=

7

22

×2×28 m

3

=176 m

3

Hence, the volume of the reservoir is 176 m

3