Question

if a cylinder and cone have equal radii and heights then find the ratio of their volumes

Answer 1

Answer:

the ratio of them is 1 this to 2

Answer 2

❥${\purple{\underline{\underline{\large{\mathtt{ANSWER:-}}}}}}$

Ratio of their volumes is 3:1.

❥${\purple{\underline{\underline{\large{\mathtt{EXPLANATION:-}}}}}}$

•Given:-

• A cylinder and cone have equal radii and height.

•To find :-

• Ratio of their volumes.

•Solution:-

Let the radii of the cylinder be r and the height of the cylinder be h.

ᴥ From the given information→

•Radii of cylinder=Radii of cone

•Height of cylinder = Height of cone

We know,

★${\boxed{\sf{\green{Volume\:of\: cylinder=\pi\:r^2h}}}}$

★${\boxed{\sf{\blue{Volume\:of\: cone=\frac{1}{3}\pi\:r^2h}}}}$

ᴥNow find the ratio of their volumes.

$\sf{Volume\:of\: cylinder\::\: Volume\:of\:cone}$

$\implies\sf{\pi\:r^2h\::\frac{1}{3}\pi\:r^2h}$

$\implies\sf{1:\frac{1}{3}}$

$\implies\sf{1\times\:3\::\frac{1}{3}\times\:3}$

$\implies\sf{3\::\:1}$

Ratio of their volumes is 3:1.