Question

Find the lateral surface area of a right circular cylinder if its base radius is 3.5 cm and height is 12 cm​

Answer 1

Question :-

Find the lateral surface area of a right circular cylinder if its base radius is 3.5 cm and height is 12 cm.

Given :-

• Radius = 3.5 cm

• Height = 12 cm

To find :-

• Lateral surface area of a right circular cylinder.

Solution :-

★ Area of a cylinder ( lateral ) = 2×π×r×h

⇒Area ( lateral ) = 2 × 22/7 × 3.5 × 12

⇒Area ( lateral ) = 2 × 22 × 0.5 × 12

⇒Area ( lateral ) = 44 × 6

⇒Area ( lateral ) = 264 cm²

Therefore, the lateral surface area of a right circular cylinder is 264 cm².

Joyful learning!!! ⛅

Answer 2

${ \underline{ \underline {\sf{ \color{purple}{ \pmb{Given: }}}}}}$

• Radius of base = 3.5 cm
• Height of cylinder = 12 cm

${ \underline{ \underline {\sf{ \color{purple}{ \pmb{To~Find: }}}}}}$

• Lateral surface area

${ \underline{ \underline {\sf{ \color{purple}{ \pmb{Formula~Used: }}}}}}$

• 2πrh

${ \underline{ \underline {\sf{ \color{purple}{ \pmb{Solution: }}}}}}$

Here, we will take value of π as 22/7

$\: \: \: \quad \qquad \sf \twoheadrightarrow 2\pi rh$

$\qquad$

$\: \: \: \quad \qquad \sf \twoheadrightarrow 2 \times \frac{22}{7} \times 3.5 \times 12$

$\qquad$

$\: \: \: \quad \qquad \sf \twoheadrightarrow 2 \times \frac{22} {\cancel{7}} \times { \cancel{{3.5}}}^{0.5} \times 12$

$\qquad$

$\: \: \: \quad \qquad \sf \twoheadrightarrow 2 \times 22 \times 0.5 \times 12$

$\qquad$

$\: \: \: \quad \qquad \sf \twoheadrightarrow 256$

$\qquad$

∴ Lateral surface area of cuboid is 256 cm²

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More Formulae:-

• TSA of cube = 6a²
• CSA of cube = 4a²
• Volume of cube = a³
• TSA of cuboid = 2(lb + bh + hl)
• CSA of cuboid = 2(l + b)h
• Volume of cuboid = l × b × h
• TSA of cylinder = 2πr(r + h)
• CSA of cylinder = 2πrh
• Volume of cylinder = πr²h