Question

A cylinder has base radius 14cm and height 21cm .find 1. area of the base. 2. curved surface area . 3 total surface area .4. volume​

Answer 1

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★ ɢɪᴠᴇɴ :-

A cylinder has base radius 14cm and height 21cm .

★ ᴛᴏ ғɪɴᴅ :-

1. area of the base.

2. curved surface area.

3 total surface area.

4. volume.

★ sᴏʟᴜᴛɪᴏɴ :-

1. Area of the base

→ πr²

→ 22/7 × 14 × 14

→ 14 × 14

→ 516 cm²

2. Curved Surface Area

→ 2 πrh

→ 2 × 22/7 × 14× 21

→ 88 × 21

→ 1848 cm²

3. Total surface Area

→ 2 πrh + πr²

→ 2πr (h+r)

→ 2 × 22/7 × 14 (14+21)

→ 3080 cm²

4. Volume

→ πr²h

→ 22/7 × 14 × 14 × 21

→ 44 × 14 × 21

→ 12936 cm²

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Answer 2

Answer:-

$\red{\bigstar}$$\large\boxed{\tt\pink{Area = 616 \: cm^2}}$

$\red{\bigstar}$$\large\boxed{\tt\pink{C.S.A = 1848 \: cm^2}}$

$\red{\bigstar}$$\large\boxed{\tt\pink{T.S.A = 3080 \: cm^2}}$

$\red{\bigstar}$$\large\boxed{\tt\pink{12936 \: cm^3}}$

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• Given:-

• Base radius of a cylinder = 14 cm

• Height of the cylinder = 21 cm

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• To Find:-

• Area of the base

• Curved surface area

• Total surface area

• Volume

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• Solution:-

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1.)

★ Area of Base:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Area = \pi r^2}}}$

➪ $\sf Area = \dfrac{22}{7} \times (14)^2$

➪ $\sf Area = \dfrac{22}{7} \times 196$

➪ $\sf Area = 22 \times 28$

✯ $\large{\bf\purple{Area = 616 \: cm^2}}$

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2.)

★ Curved Surface Area:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{C.S.A = 2 \pi rh}}}$

➪ $\sf C.S.A = 2 \times \dfrac{22}{7} \times 14 \times 21$

➪ $\sf C.S.A = 2 \times 22 \times 2 \times 21$

➪ $\sf C.S.A = 44 \times 42$

✯ $\large{\bf\purple{C.S.A = 1848 \: cm^2}}$

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3.)

★ Total Surface Area:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{T.S.A = 2 \pi r(h+r)}}}$

➪ $\sf T.S.A = 2 \times \dfrac{22}{7} \times 14(21+14)$

➪ $\sf T.S.A = 2 \times 22 \times 2(35)$

➪ $\sf T.S.A = 44 \times 70$

✯ $\large{\bf\purple{T.S.A = 3080 \: cm^2}}$

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4.)

★ Volume:-

W know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Volume = \pi r^2 h}}}$

➪ $\sf Volume = \dfrac{22}{7} \times (14)^2 \times 21$

➪ $\sf Volume = \dfrac{22}{7} \times 196 \times 21$

➪ $\sf Volume = 22 \times 28 \times 21$

➪ $\sf Volume = 616 \times 21$

✯ $\large{\bf\purple{Volume= 12936 \: cm^3}}$