(C) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.Given $V = 4500 \pi \text{ cm}^3$,we have:$\frac{4}{3} \pi r^3 = 4500 \pi

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(C) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.Given $V = 4500 \pi \text{ cm}^3$,we have:$\frac{4}{3} \pi r^3 = 4500 \pi$$r^3 = 4500 \times \frac{3}{4}$$r^3 = 1125 \times 3 = 3375$$r = \sqrt[3]{3375} = 15 \text{ cm}$.The diameter $d$ is $2r = 2 \times 15 = 30 \text{ cm}$.

Class 9 Mathematics Surface Areas and Volumes Volume of a Sphere

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The volume of a sphere is $4500 \pi \text{ cm}^3$,then its diameter is $\dots \text{ cm}$.

A
$15$
B
$12$
C
$30$
D
$24$

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Surface Areas and Volumes

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Volume of a Sphere

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The volume of a sphere is $4500 \pi \text{ cm}^3$,then its diameter is $\dots \text{ cm}$.

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How many litres of milk can a hemispherical bowl of diameter $10.5\, cm$ hold (in $, l$)?

State whether the following statement is true or false:The ratio of the surface areas of two spheres is $81: 49$. Then,the ratio of their volumes is $729: 343$.

Find the amount of water displaced by a solid spherical ball of diameter $4.2 \, cm$,when it is completely immersed in water. (in $, cm^3$)

The radius of a sphere is $2r$,then its volume will be

Find the volume of a sphere of radius $2.1 \, cm$. (in $cm^3$)

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State whether the following statement is true or false:
The ratio of the surface areas of two spheres is $81: 49$. Then,the ratio of their volumes is $729: 343$.