Question

A spherical ball is d'ivided into two equal halves. If the curved surface area of each half is 56.57 cm2, find the volume of the spherical ball.

Answer 1

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Answer 2

$\large\underline{\underline{\sf{\maltese\:\: \red{Given :}}}}$

• A spherical ball is divided into two equal parts.

• Curved Surface Area (CSA) of each half = 56.57 cm

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$\large\underline{\underline{\sf{\maltese\:\: \red{To \: Find \: : }}}}$

• Volume of the spherical ball = ?

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$\large\underline{\underline{\sf{\maltese\:\: \red{Concept \: Used \: : }}}}$

• Curved Surface Area (CSA) of Sphere = 2πr²

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$\large\underline{\underline{\sf{\maltese\:\: \red{Solution \: : }}}}$

$\sf 2\pi r^2 = 56.57cm^2$

$\implies 2 \: \times \: 3.14 \: \times \: r^2 = 56.57$

$\implies r^2 = \frac{56.57 }{2 \: \times 3.14}$

$\implies r^2 = 9 \\ \implies r = \sqrt{9}$

$\implies r \approx \bold{3 cm}$

Volume of Sphere = $\frac{4}{3} \pi r^3$

Volume of Sphere = $\frac {4}{3} \: \times \: 3.14 \: \times \: 3 \: \times \: 3 \: \times \: 3$

Volume of Sphere = $\bold{113.04 \: cm^3}$

∴ Volume of the spherical ball is 113.04 cm³.

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