(B) The formula for the volume of a cylinder is $V = \pi r^2 h$.Given that the volume $V = 20 \pi \, cm^3$ and the height $h = 5 \, cm$.Substituting t

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(B) The formula for the volume of a cylinder is $V = \pi r^2 h$.Given that the volume $V = 20 \pi \, cm^3$ and the height $h = 5 \, cm$.Substituting these values into the formula: $20 \pi = \pi r^2 \times 5$.Dividing both sides by $5 \pi$,we get $r^2 = 4$.Taking the square root,$r = 2 \, cm$.The diameter $d$ is twice the radius: $d = 2r = 2 \times 2 = 4 \, cm$.

Class 10 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

Medium

The volume of a cylinder is $20 \pi \, cm^3$ and its height is $5 \, cm$. Then,the diameter of the cylinder is $\ldots \ldots \ldots \ldots \, cm$.

A
$2$
B
$4$
C
$8$
D
$16$

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Surface Areas and Volumes

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Mix Examples - Surface Areas and Volumes

$1 \text{ litre} = \dots \text{ cm}^3$

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The area of the base of a cylinder is equal to:

Easy

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If two solid hemispheres of same base radius $r$ are joined together along their bases, then the curved surface area of this new solid is (in $\pi r^{2}$)

Easy

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If the radius of a sphere is doubled,its volume becomes $\ldots \ldots \ldots \ldots$ times the original volume.

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........ litres of water at the most can be stored in a cubical tank with length $1\, m$.

Easy

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The volume of a cylinder is $20 \pi \, cm^3$ and its height is $5 \, cm$. Then,the diameter of the cylinder is $\ldots \ldots \ldots \ldots \, cm$.

Similar Questions

$1 \text{ litre} = \dots \text{ cm}^3$

The area of the base of a cylinder is equal to:

If two solid hemispheres of same base radius $r$ are joined together along their bases, then the curved surface area of this new solid is (in $\pi r^{2}$)

If the radius of a sphere is doubled,its volume becomes $\ldots \ldots \ldots \ldots$ times the original volume.

........ litres of water at the most can be stored in a cubical tank with length $1\, m$.

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