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Find the volume of a hemisphere whose diameter is 7 cm. (Take π = 227\frac{22}{7}722​​) (Rounded up to two decimal places)
Question

Find the volume of a hemisphere whose diameter is 7 cm. (Take π = 227\frac{22}{7}​) (Rounded up to two decimal places)

A.

89.83 cubic cm

B.

94.83 cubic cm

C.

99.83 cubic cm

D.

84.83 cubic cm

Correct option is A

Given:
Diameter of the hemisphere = 7 cm
=> Radius = 7 ÷ 2 = 3.5 cm​
Formula Used:
Volume of a hemisphere = 23\frac 23​ × π × r³
Solution:
Volume of a hemisphere 

=(23)×(227)×(3.5)3=(23)×(227)×42.875=2×22×42.8753×7=1886.52189.83 cm3\begin{aligned}&= \left( \frac{2}{3} \right) \times \left( \frac{22}{7} \right) \times (3.5)^3 \\&= \left( \frac{2}{3} \right) \times \left( \frac{22}{7} \right) \times 42.875 \\&= \frac{2 \times 22 \times 42.875}{3 \times 7} \\&= \frac{1886.5}{21} \\&\approx 89.83\ \text{cm}^3\end{aligned}​​

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