Question

find the total surface area of a solid cylinder, the diameter of whose base and the hieght are 28 cm and 14 cm respectively.​

Answer 1

Answer :

• Surface area of solid cylinder is 2464cm²

Given :

• Diameter of base is 28cm
• Height of cylinder is 14cm

To find :

• Total surface area of a solid cylinder

Solution :

Given that ,

• Diameter of base is 28cm
• height is 14cm

Now we have to find the radius ,

Diameter is 28cm so ,

》Radius = 28/2 = 14cm

Now Total surface area of a solid cylinder :

As we know that,

• Total surface area of cylinder = 2πr(r + h)

where , r is radius 14cm , h is height 14cm

》 2πr(r + h)

》2 × 22/7 × 14 (14 + 14)

》2 × 22 × 2 (28)

》 44 × 2 (28)

》 88(28)

》 2464cm²

Hence , Surface area of solid cylinder is 2464cm²

Answer 2

Given

• Diameter of base of cylinder = 28 cm
• Height of cylinder = 14 cm

To find

• Total surface area of cylinder

Solution

⇨ We know, T.S.A of cylinder is 2πr(r + h) , where :-

• r - radius
• h - height

⇨ But, we do not have the radius , but have the diameter , so we can dinf radius with the relation between radius and diameter :-

• d = 2r
• 28 = 2r
• r = 28/2
• r = 14

Hence, the radius is 14 cm , now substitute the values , and find T.S.A :-

• 2πr(r + h)
• 2 × 22/7 × 14 (14 + 14)
• 44/7 × 14 (28)
• 88 × 28
• 2464

Hence, the total surface area of cylinder is 2464 cm²

Learn these

• Curved surface area of cylinder = 2πrh
• Volume of cylinder = πr²h