Question

The radius and height of the cylinder are in ratio of 4:7 and it's curved surface area is 704 cm2 find radius and height
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Answer 1

Answer:

Step-by-step explanation:

solution;

let the radius and height of the cylinder be 4x cm and 7x cm respectively.

curved surface area(csa)=704 cm2

now;

csa of cylinder= 2πrh

1. 2*3.14*4x*7x=704
2. 44/7*28x^2=704
3. x^2=704*7/44/28
4. x=√3136
5. ∴x=56
6. ∴h=4x=224
7. ∴r=7x=378