Question

volume of a solid cylinder is 6237 cm cube find the radius if its height is 4.5 CM

Answer 1

Volume of cylinder is pie*r^2*h=6237cm^3. 22/7*r^2*4.5=6237. r^2=(6237*7)/(4.5*22)=441. r^2=441. r=21cm. Radius of cylinder is 21cms

Answer 2

Radius of the cylinder is 21 cm.

Step-by-step explanation:

Volume of a solid cylinder

$V=\pi r^2h$

where, r is radius and h is height of the cylinder.

It is given that volume of a solid cylinder is 6237 cm cube and its height is 4.5 cm.

Substitute V=6237, $\pi=\frac{22}{7}$ and h=4.5 in the above formula.

$6237=(\frac{22}{7})r^2(4.5)$

$6237=\frac{99}{7}r^2$

Multiply both sides by 7.

$43659=99r^2$

Divide both sides by 99.

$\dfrac{43659}{99}=r^2$

$441=r^2$

Taking square root on both sides.

$21=r$

Therefore, the radius of the cylinder is 21 cm.

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