(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

$A$ hemispherical bowl of radius $18\, cm$ is completely filled with medicine. This medicine is to be filled in cylindrical bottles of radius $2\, cm$ and height $4\, cm$. How many bottles are required to empty the bowl?

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The radius of a cone is $5 \, cm$ and slant height is $9 \, cm$. The total surface area of the cone is $\ldots \ldots \ldots \, cm^2$.

Medium

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The radii of three metal spheres are $3 \,cm, 4 \,cm$ and $5 \,cm$ respectively. They are melted into a single solid sphere. Find the radius of the new solid sphere (in $cm$).

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The surface area and volume of a cube with an edge length of $x \ cm$ are numerically equal. Find the value of $x$.

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Write True or False and justify your answer.
$A$ right circular cylinder just encloses a sphere of radius $r$ as shown in the figure. The surface area of the sphere is equal to the curved surface area of the cylinder.

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

Similar Questions

$A$ hemispherical bowl of radius $18\, cm$ is completely filled with medicine. This medicine is to be filled in cylindrical bottles of radius $2\, cm$ and height $4\, cm$. How many bottles are required to empty the bowl?

The radius of a cone is $5 \, cm$ and slant height is $9 \, cm$. The total surface area of the cone is $\ldots \ldots \ldots \, cm^2$.

The radii of three metal spheres are $3 \,cm, 4 \,cm$ and $5 \,cm$ respectively. They are melted into a single solid sphere. Find the radius of the new solid sphere (in $cm$).

The surface area and volume of a cube with an edge length of $x \ cm$ are numerically equal. Find the value of $x$.

Write True or False and justify your answer.$A$ right circular cylinder just encloses a sphere of radius $r$ as shown in the figure. The surface area of the sphere is equal to the curved surface area of the cylinder.

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Write True or False and justify your answer.
$A$ right circular cylinder just encloses a sphere of radius $r$ as shown in the figure. The surface area of the sphere is equal to the curved surface area of the cylinder.