Question

The radius and height of a cylinder is in the ratio 3:2 and it’s volume is 2772cm cube.find its radius and height.plsx can I get the answer fast!!

Answer 1

volume =πr^2h
22/7*9*2=396/7
radius=2772*7/396 *3=147cm
height=49*2=98cm

Answer 2

Given : The radius and height of a cylinder is in the ratio 3:2

To Find : it’s volume is 2772 cm cube

Solution:

Let The ratio be x

So, Radius =3x

Height = 2x

Volume of cylinder =$\pi r^2 h$

Volume of cylinder =$\frac{22}{7} \times (3x)^2 (2x)$

We are given that it’s volume is 2772 cm cube

So, $\frac{22}{7} \times (3x)^2 (2x) =2772$

So,$\frac{22}{7} \times 18x^3 =2772\\x^3 =2772 \times \frac{7}{22 \times 18}\\x=\sqrt[3]{2772 \times \frac{7}{22 \times 18}}\\x=3.659$

Radius = 3x=3(3.659)=10.977

Height = 2x=2(3.659)=7.318

Hence The radius and the height are 10.977 cm and 7.318 cm respectively