(B) Given diameter $d = 28 \, cm$,so radius $r = \frac{d}{2} = 14 \, cm$. Surface area of a sphere $= 4 \pi r^2 = 4 \times \frac{22}{7} \times 14 \tim

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$2464 \, cm^2, 11498 \frac{2}{3} \, cm^3$

(B) Given diameter $d = 28 \, cm$,so radius $r = \frac{d}{2} = 14 \, cm$. Surface area of a sphere $= 4 \pi r^2 = 4 \times \frac{22}{7} \times 14 \times 14 = 88 \times 28 = 2464 \, cm^2$. Volume of a sphere $= \frac{4}{3} \pi r^3 = \frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14 = \frac{4}{3} \times 22 \times 2 \times 14 \times 14 = \frac{34496}{3} = 11498 \frac{2}{3} \, cm^3$.

Class 9 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

Medium

Find the surface area and volume of a sphere of diameter $28 \, cm$.

A
$2464 \, cm^2, 11498.67 \, cm^3$
B
$2464 \, cm^2, 11498 \frac{2}{3} \, cm^3$
C
$1232 \, cm^2, 5749 \frac{1}{3} \, cm^3$
D
$2464 \, cm^2, 11500 \, cm^3$

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Surface Areas and Volumes

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Mix Examples - Surface Areas and Volumes

If the edge of a cube is $12 \, cm$,find its volume (in $cm^3$).

Easy

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State whether the following statement is True or False and justify your answer: If the radius of a cylinder is doubled and its height is halved,the volume will be doubled.

Easy

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The radius of a sphere is decreased by $20 \% .$ By what per cent does its curved surface area decrease (in $\%$)?

Medium

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The dimensions of each iron hollow box are $30 \, cm \times 15 \, cm \times 10 \, cm$. What is the volume of a carton containing $60$ such boxes? (in $m^3$)

Medium

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$A$ metallic ball of radius $9 \,cm$ is melted and recast into three metallic balls. If the radii of two balls are $1 \,cm$ and $6 \,cm$,find the radius of the third ball (in $cm$).

Difficult

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Find the surface area and volume of a sphere of diameter $28 \, cm$.

Similar Questions

If the edge of a cube is $12 \, cm$,find its volume (in $cm^3$).

State whether the following statement is True or False and justify your answer: If the radius of a cylinder is doubled and its height is halved,the volume will be doubled.

The radius of a sphere is decreased by $20 \% .$ By what per cent does its curved surface area decrease (in $\%$)?

The dimensions of each iron hollow box are $30 \, cm \times 15 \, cm \times 10 \, cm$. What is the volume of a carton containing $60$ such boxes? (in $m^3$)

$A$ metallic ball of radius $9 \,cm$ is melted and recast into three metallic balls. If the radii of two balls are $1 \,cm$ and $6 \,cm$,find the radius of the third ball (in $cm$).

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