Question

The curved surface area of a cylinder is 264 m^2 and its volume is 924 m^3 Find the ratio of its height to its diameter.

Answer 1

• Let the radius=R  

• Height=H  

• Curved surface area of a toy = 264 cm2  

2πrh =264cm2  

R^2=(264)^2 / (2πh)^2  

• Volume of toy=924cm^2  

πr^2h=924  

R^2=924/πh  

Equating both R values to find H value  

924/πh = (264)^2 / (2πh)^2  

H=6 cm  

Finding R value  

2πrh=264 cm2  

R=7cm

diameter=7*2=14

ratio=6:14