Question

Find the volume, total surface area and lateral surface area of a right circular cylinder whose height is 70 cm and radius is 1.5 m

Answer 1

Given : In a Right Circular Cylinder

Height,h = 70cm

Radius,r = 1.5cm

To Find :

• Volume
• Lateral Surface Area
• Total Surface Area

Solution :

By using, V = πr²h

⇒ Volume = (22/7)(1.5)²(70)

⇒ Volume = 22(2.25)(10)

⇒ Volume = 495cm³

By using, LSA = 2πrh

⇒ LSA = 2(22/7)(1.5)(70)

⇒ LSA = 2(2)(22)(1.5)(10)

⇒ LSA = 660cm²

By using, TSA = 2πr(r + h)

⇒ TSA = 2(22/7)(1.5)(1.5 + 70)

⇒ TSA = 2(22/7)(1.5)(71.5)

⇒ TSA = 673.53cm²

------------------------------------------------------

FINAL ANSWER :

Volume = 495cm³

Lateral Surface Area = 660cm²

Total Surface Area = 673.53cm²

----------------------------------------------------

FORMULAE USED :

VOLUME(V) = πr²h

LATERAL SURFACE AREA(LSA) = 2πrh

TOTAL SURFACE AREA(TSA) = 2πr(h+r)