Question

Find the csa, tsa, and volume of cylinder where height is 8 cm and diameter is 21 cm​​

Answer 1

Answer:

refer the attachment file mate!

Answer 2

Given information,

Find the C.S.A, T.S.A, and volume of cylinder where height is 8 cm and diameter is 21 cm

• Height of cylinder = 8 cm
• Diameter of base of cylinder = 21 cm
• Radius of base of cylinder = Diameter/2 = 21/2 cm
• Volume of cylinder = ?
• C.S.A of cylinder = ?
• T.S.A of cylinder = ?

Using formula,

✪ Volume of cylinder = πr²h ✪

Where,

• π = Pi
• r = radius of base of cylinder
• h = height of cylinder

We have,

• π = 22/7
• r = 21/2 cm
• h = 8 cm

Putting all values,

➻ Volume of cylinder = 22/7 × (21/2)² × 8

➻ Volume of cylinder = 22/7 × 21/2 × 21/2 × 8

➻ Volume of cylinder = 11 × 3 × 21 × 4

➻ Volume of cylinder = 33 × 84

➻ Volume of cylinder = 2772 cm³

• Henceforth, volume of cylinder is 2772 cm³.

Using formula,

✪ C.S.A of cylinder = 2πrh ✪

Where,

• π = Pi
• r = radius of base of cylinder
• h = height of cylinder

We have,

• π = 22/7
• r = 21/2 cm
• h = 8 cm

Putting all values,

➻ C.S.A of cylinder = 2 × 22/7 × 21/2 × 8

➻ C.S.A of cylinder = 22 × 3 × 8

➻ C.S.A of cylinder = 66 × 8

➻ C.S.A of cylinder = 528 cm²

• Henceforth, C.S.A of cylinder is 528 cm².

Using formula,

✪ T.S.A of cylinder = 2πr(r + h) ✪

Where,

• π = Pi
• r = radius of base of cylinder
• h = height of cylinder

We have,

• π = 22/7
• r = 21/2 cm
• h = 8 cm

Putting all values,

➻ T.S.A of cylinder = 2 × 22/7 × 21/2(21/2+8)

➻ T.S.A of cylinder = 22 × 3(10.5 + 8)

➻ T.S.A of cylinder = 22 × 3 × 18.5

➻ T.S.A of cylinder = 66 × 18.5

➻ T.S.A of cylinder = 1221 cm²

• Henceforth, T.S.A of cylinder is 1221 cm².

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