Question

the curved surface area of a cylinder is 264m² and it's volume is 924m².find the ratio of its height to its diameter ​

Answer 1

Answer:

CURVED SURFACE AREA OF A CYLINDER= 2πRH

VOLUME OF THE CYLINDER= πR²H

SO VOLUME÷ CURVED SURFACE AREA

= πR²H÷2πRH

= R/2= 924/264

R/2= 3.5- metre

Therefore Radius= 7; Diameter= 14.

So height = Volume/ πR²

Height = 924/(22/7 x7²)= 6 - metres

Ratio of diameter to height

= 14 : 6

= 7 : 3

Step-by-step explanation:

Answer 2

Answer:

CSA OF A CYLINDER= 2πRH

VOLUME OF THE CYLINDER= πR²H

SO VOLUME÷ CSA

= πR²H÷2πRH

= R/2= 924/264

R/2= 3.5- metre

Therefore Radius= 7; Diameter= 14.

So height = Volume/ πR²

Height = 924/(22/7 x7²)= 6- metres

Ratio of diameter to height

= 14 : 6

= 7 : 3

Hope it helps you..