Question

1. The diameter of the base and the height of a solid
cylinder are 14 em and 10 em respectively. Find the
total surface area of the cylinder,​

Answer 1

Given:

• Diameter of base of cylinder, D = 14 cm
• Radius of base of cylinder, r = 14/2 = 7 cm
• Height of cylinder, h = 10 cm

Need to find:

• Total surface area of cylinder?

Solution:

We know that,

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

Where,

r and h are "radius" and "height" of cylinder respectively.

⇒ 2 × 22/7 × 7(7 + 10)

⇒ 2 × 22/7 × 7 × 17

⇒ 2 × 22 × 17

⇒ 748 cm²

∴ Hence, The total surface area of cylinder is 748cm².

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More to know:

• Curved Surface Area of cylinder = 2πrh
• Volume of cylinder = πr²h
• Area of base of cylinder = πr²

Answer 2

Solution

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Given,

• the diameter of the base of cylinder = 14cm
• the radius of base of cylinder = R = D/2 = 14/2 = 7cm
• the height of the cylinder = 10cm

To find ,

• we have to find here the total surface area of the cylinder .

We know that ,

To find the T.S.A ( total surface area ) we have to use the formula = 2πr (r +h ) .

now putting the value we get ;

$= 2 \times \frac{22}{7} \times 7(7 + 10)$

$= 2 \times \frac{22}{ \cancel{7}} \times \cancel{7} \times 17$

$= 2 \times 22 \times 17$

$= 748 {cm}^{2}$

The total surface area of the cylinder is 748cm^2 .

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