Question

The volume of a cone is 30cm cube the volume of a cylinder having same base and same height is ....
a) 10cm cube b) 30cm cube
c) 60cm cube d) 90cm cube
Along with solving​

Answer 1

Answer:

90 cm³

Step-by-step explanation:

Volume of cone=1/3 (volume of cylinder)

30=1/3(x)

90= volume of cylinder

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Answer 2

The volume of cylinder is 90 cubic cm .

Step-by-step explanation:

Let the height and radius of cone be h and r respectively .

Volume of cone = $\frac{1}{3} \pi r^2 h$

We are given that The volume of a cone is 30cm cube

So, $\frac{1}{3} \pi r^2 h = 30 cm^3$---A

We are given that cylinder having same base and same height

So, volume of cylinder = $\pi r^2 h$

Solving A

$\frac{1}{3} \pi r^2 h = 30 \\\pi r^h = 90 cm^3$

Hence The volume of cylinder is 90 cubic cm .

#Learn more:

Establish the relation between the volume of cone and cylinder

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