The curved surface area of a cylinder is 7920 sq cm and the circumference of the base is 126cm - Maths - Mensuration

Question

The curved surface area of a cylinder is 7920 sq cm and the
circumference of the base is 126cm Find the height of the cylinder
Give your answer correct to two decimal places

Neha Sethi · Accepted Answer

Let r be the radius and h be the height of cylinder 
Given : Curved surface area of cylinder =7920 sq
 cm⇒2πrh=7920⇒2×227×rh=7920⇒rh=1260 
1Also it is given that circumfernce of base=126 cm⇒2πr=126⇒r=1262π⇒r=1262×227⇒r=88244Hence h=1260r  using 1⇒h=1260×44882=62
86 cm

The curved surface area of a cylinder is 7920 sq.cm and the circumference of the base is 126cm. Find the height of the cylinder. Give your answer correct to two decimal places.