(D) Given: Diameter of the cylindrical pillar $= 50 \, cm = 0.5 \, m$.Radius $(r) = \frac{0.5}{2} = 0.25 \, m$.Height $(h) = 3.5 \, m$.Curved Surface

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(D) Given: Diameter of the cylindrical pillar $= 50 \, cm = 0.5 \, m$.Radius $(r) = \frac{0.5}{2} = 0.25 \, m$.Height $(h) = 3.5 \, m$.Curved Surface Area $(CSA)$ of the cylinder $= 2 \pi rh$.$CSA = 2 \times \frac{22}{7} \times 0.25 \times 3.5 \, m^2$.$CSA = 2 \times \frac{22}{7} \times 0.25 \times \frac{35}{10} = 2 \times 22 \times 0.25 \times 0.5 = 5.5 \, m^2$.Cost of painting per $m^2 = Rs. \, 12.50$.Total cost of painting $= 5.5 \times 12.50 = Rs. \, 68.75$.

Class 9 Mathematics Surface Areas and Volumes Textbook - Surface Areas and Volumes

Medium

$A$ 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 $Rs. \, 12.50$ per $m^2$. $\left[ \text{Assume } \pi = \frac{22}{7} \right]$

A
$Rs. \, 40.78$
B
$Rs. \, 65.80$
C
$Rs. \, 70.75$
D
$Rs. \, 68.75$

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Surface Areas and Volumes

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Textbook - Surface Areas and Volumes

Find the total surface area of a cone,if its slant height is $21 \, m$ and diameter of its base is $24 \, m$. (Take $\pi = \frac{22}{7}$) (in $, m^2$)

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If the volume of a right circular cone of height $9 \, cm$ is $48 \pi \, cm^3$,find the diameter of its base. (in $, cm$)

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$A$ village,having a population of $4000$,requires $150$ litres of water per head per day. It has a tank measuring $20 \,m \times 15 \,m \times 6 \,m$. For how many days will the water of this tank last?

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$A$ 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 $Rs. \, 12.50$ per $m^2$. $\left[ \text{Assume } \pi = \frac{22}{7} \right]$

Similar Questions

Find the total surface area of a cone,if its slant height is $21 \, m$ and diameter of its base is $24 \, m$. (Take $\pi = \frac{22}{7}$) (in $, m^2$)

$A$ conical tent is $10 \, m$ high and the radius of its base is $24 \, m$. Find the slant height of the tent. (in $, m$)

$A$ right triangle $ABC$ with sides $5 \, cm, 12 \, cm$ and $13 \, cm$ is revolved about the side $12 \, cm$. Find the volume of the solid so obtained.

If the volume of a right circular cone of height $9 \, cm$ is $48 \pi \, cm^3$,find the diameter of its base. (in $, cm$)

$A$ village,having a population of $4000$,requires $150$ litres of water per head per day. It has a tank measuring $20 \,m \times 15 \,m \times 6 \,m$. For how many days will the water of this tank last?

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