Question : The radius of a hemisphere is 6.3 cm. What will be its volume?
Option 1: $572.80\ \text{cm}^3$
Option 2: $643.50\ \text{cm}^3$
Option 3: $523.90\ \text{cm}^3$
Option 4: $353.38\ \text{cm}^3$
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Correct Answer: $523.90\ \text{cm}^3$
Solution : The volume of a hemisphere with radius $r$ $= \frac{2}{3}\pi r^3$ $=\frac{2}{3}×\frac{22}{7}×6.3×6.3×6.3$ $= 523.90\ \text{cm}^3$ Hence, the correct answer is $523.90\ \text{cm}^3$.
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Question : The radius of a hemisphere is 5.6 cm. What will be its volume?
Option 1: 367.95 cm3
Option 2: 195.95 cm3
Option 3: 380 cm3
Option 4: 265.65 cm3
Question : The volume of a hemisphere is $2425 \frac{1}{2} \mathrm{~cm}^3$. Find its radius. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 12 cm
Option 2: 10 cm
Option 3: 10.5 cm
Option 4: 9.5 cm
Question : If the diameter of a hemisphere is 35 cm, then what is the volume of the hemisphere?
Option 1: 11229.17 cm3
Option 2: 15248.46 cm3
Option 3: 17428.33 cm3
Option 4: 9478.26 cm3
Question : A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?
Option 1: 1.63 cm
Option 2: 1.35 cm
Option 3: 1.33 cm
Option 4: 1.45 cm
Question : The radius and height of a cylinder are in the ratio 4: 7 and its volume is 2816 cm3. Find its radius. (Take $\pi=\frac{22}{7}$ )
Option 1: 5 cm
Option 2: 7 cm
Option 3: 8 cm
Option 4: 6 cm
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