find the curved surface area and the volume of the right circular cylinder if the circumference of the base is 88 m and the height is 12 m
Answers
Answer:
Circumference of the cylinder = 88 m
Circumference of circle = 2πr
88 = 2 x 22/7 x r
88 = 44/ 7 x r
88 x 7 = 44 x r
616 = 44 x r
616 / 4 = r
14 m = r
Radius of the cylinder = 14 m
Height of the cylinder = 12 m
∴ Curved Surface Area = 2πrh
= 2 x 22/7 x 14 x 12
= 44/7 x 14 x 12
= 44 x 2 x 12
= 44 x 24
= 1056 m²
∴ Volume of cylinder = πr²h
= 22/ 7 x 14 x 14 x 12
= 22 x 2 x 14 x 12
= 44 x 14 x 12
= 44 x 168
= 7392 m³
∴ Curved Surface Area = 1056 m²
∴ Volume of Cylinder = 7392 m³