Question

Q.5 A cylindrical pillar is 50 cm in diameter and 3.5 m in height find the cost of painting the curved
surface of the pillar at the rate of 15.20 per m2​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\sf{ Answer :- }$

Given :-

• Diameter of the Cylinder pillar = 50cm

• Height of the Cylinder pillar = 3.5m

To Find :-

• Radius of the Cylinder pillar

• Curved surface area of the Cylinder pillar

• Cost of painting of pillar at the rate of 15.20 per m²

Formula :-

⠀⠀$\large\boxed{\sf{CSA = 2πrh} }$

where,

• CSA = Curved surface area of the Cylinder pillar

• r = Radius of the Cylinder

• h = height of the Cylinder pillar

Solution :-

$\small\sf\sf Radius = \dfrac{Diameter }{2}$

⇒ 50cm/2

➥ 25cm

Height is in metres so, we convert the radius into metres

⇒ 1m = 100cm

⇒ 25/100m

➥ 0.25m

Hence, The radius is 0.25m

By substituting values according to the formula,

$\sf{⇒CSA =(2 \times \dfrac{22}{7} \times 0.25 \times 3.5 }) {m}^{2}$

$\sf{⇒CSA = (\dfrac{44}{7} \times 0.875) {m}^{2} }$

$\sf{ ⇒CSA = (44 \times 0.125) {m}^{2} }$

$\sf{⇒CSA = 5.5 {m}^{2} }$

∴ The curved surface area of the Cylinder pillar is 5.5m²

✦ Cost of painting 1 m² = ₹ 15.20

✦ Cost of painting 5.5m² =

⇒ ₹( 5.5 × 15.20 )

$\sf { ➜ \: ₹ 83.6 }$

Hence, The Cost of painting 5.5m² is ₹83.6