Question

A bucket is in the form of a frustum of a cone, its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of water can the bucket hold? (Take $\pi$ = $\frac{22}{7}$)

• A. 28.49 litres
• B. 27.49 litres
• C. 26.49 litres
• D. 25.49 litres

Answer 1

The correct option is A

28.49 litres

R = 28 cm

r = 21 cm

h = 15 cm

Capacity of the bucket =
$\frac{1}{3}\pi h(R^2+r^2+Rr)$

$=\frac{1}{3}\times \frac{22}{7}\times 15\times \left[\right(28{)}^2+(21{)}^2+(28\left)\right(21\left)\right]c{m}^3$

$=\frac{22}{7}\times 5\times [784+441+588]c{m}^3$

$=\frac{22}{7}\times 5\times 1813c{m}^3$

= 22 × 5 × 259 $c{m}^3$

= 28490 $c{m}^3$

$=\frac{28490}{1000}$ liters

= 28.49 liters