Question

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Volume and Surface Area of Solids
573
EXERCISE 15B
1. The diameter of a cylinder is 28 cm and its height is 40 cm. Find the
curved surface area, total surface area and the volume of the cylinder.​

Answer 1

Answer:

Curved surface area=3520 cm^2

Total surface area=4752 cm^2

Volume of cylinder=2460 cm^3

Given:

Diameter of cylinder=28 cm and height=40 cm

To find:

Curved surface area;Total surface area and volume of cylinder

Solution:-

Diameter=28 cm

$r = \frac{d}{2}$

$= \frac{28}{2}$

$= 14 \: cm$

Now

Curved surface area=2πrh

$= 2 \times \frac{22}{7} \times 14 \times 40$

$= 3520$ cm^2

Total surface area=2πr(r+h)

$= 2 \times \frac{22}{7} \times 14(14 + 40)$

$= 88 \times 54$

$= 4752$ cm^2

Volume of cylinder=πr^2h

$= \frac{22}{7} \times 14 \times 14 \times 40$

=$24640 \: {cm}^{3}$

Answer 2

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Given :-

Diameter of cylinder = 28 cm

Radius of cylinder = 14 cm

Height of cylinder = 40 cm

___________________________

To Find:

CSA of cylinder

TSA of cylinder

Volume of cylinder

We have Formula :-

═══════❇☢☣⚛✳✴═══════

✯ Curved surface area of cylinder = 2πrh

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

✯ Volume of cylinder=πr²h

═══════❇☢☣⚛✳✴═══════

_____________________________

CSA of cylinder :-

_______[Put Values in 2πrh]

⇒ (2× 22 ×14×40)/ 7

CSA of cylinder = 3520cm²

__________________________

TSA of cylinder

__________[Put Values in 2πr(r+h)]

[2 × 22 × 14(14+40) ]/ 7

TSA of cylinder = 4752cm²

_______________________________

volume of cylinder,

Volume of cylinder = πr²h

[22 × (14)² × 40]/7

Volume of cylinder = 24640cm³