Question

the curved surface area of a cylinder is 7920 cm ^2 and the circumference of the base is 126 cm. find the height of the cylinder . give your answer correct to the decimal places​

Answer 1

Solution :

• CSA of cylinder = 7920cm²
• Circumstances of base of Cylinder = 126cm
• Height of cylinder = ??

We know that,

Area of base of Cylinder = πr²

126 = πr²

126 × 7/22 = r²

882/22 = r²

441/11 = r²

40.09 = r²

r = 6.3cm

CSA of cylinder = 2πrh

7920 = 2π × 6.3 × h

7920 = 44/7 × 6.3h

7920 = 277.2/7h

7920 = 39.6h

h = 200 cm

━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Done࿐