The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is
a. 32.7 litres
b. 33.7 litres
c. 34.7 litres
d. 31.7 litres

Solution:

It is given that

h = 35 cm

D = 44 cm

R = 44/2 = 22 cm

d = 24 cm

r/2 = 24/2 = 12 cm

We know that

Volume of frustum of cone = πh/3 (R² + Rr + r²)

As 1 litre = 1000 cubic cm

Volume of frustum of cone = [π × 35 (22² + 22 × 12 + 12²)]/ 3

= 32706.67 cubic cm

= 32.7 litres

Therefore, the capacity of the bucket is 32.7 litres.

✦ Try This: The diameters of the two circular ends of the bucket are 55 cm and 35 cm. The height of the bucket is 25 cm. The capacity of the bucket is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 18

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is a. 32.7 litres, b. 33.7 litres, c. 34.7 litres, d. 31.7 litres

Summary:

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is 32.7 litres

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