Question

A conical ice cream jar of top diameter $7$ cm is $10$ cm deep. What is its capacity in litres.

• A. $0.126$ litres
• B. $0.128$ litres
• C. $0.130$ litres
• D. $128{cm}^3$

Answer 1

The correct option is B $0.128$ litres

Given, diameter $=7$ cm $\Rightarrow$ radius $=\frac{7}{2}$ cm

Volume of cone $\frac{\pi r^{2}h}{3}=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{10}{3}[\because d=7,r=\frac{3}{2}]$
$=\frac{22\times 7\times 10}{2\times 2\times 3}=\frac{7\times 5\times 11}{3}=128.33$

$=128{cm}^3$