(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

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Assume $\pi = \frac{22}{7}$ unless stated otherwise. (in $, cm$)

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It is required to make a closed cylindrical tank of height $1 \,m$ and base diameter $140 \,cm$ from a metal sheet. How many square metres of the sheet are required for the same (in $,m^2$)? Assume $\pi = \frac{22}{7}$.

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$A$ small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is $30 \, cm$ long,$25 \, cm$ wide and $25 \, cm$ high. What is the area of the glass (in $, cm^2$)?

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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 capacity in litres of a conical vessel with radius $7 \, cm$ and slant height $25 \, cm$. (in $, l$)

Find the surface area of a sphere of diameter $14 \, cm$.Assume $\pi = \frac{22}{7}$. (in $, cm^2$)

The curved surface area of a right circular cylinder of height $14\, cm$ is $88\, cm^2$. Find the diameter of the base of the cylinder.Assume $\pi = \frac{22}{7}$ unless stated otherwise. (in $, cm$)

It is required to make a closed cylindrical tank of height $1 \,m$ and base diameter $140 \,cm$ from a metal sheet. How many square metres of the sheet are required for the same (in $,m^2$)? Assume $\pi = \frac{22}{7}$.

$A$ small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is $30 \, cm$ long,$25 \, cm$ wide and $25 \, cm$ high. What is the area of the glass (in $, cm^2$)?

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Find the surface area of a sphere of diameter $14 \, cm$.
Assume $\pi = \frac{22}{7}$. (in $, cm^2$)

The curved surface area of a right circular cylinder of height $14\, cm$ is $88\, cm^2$. Find the diameter of the base of the cylinder.
Assume $\pi = \frac{22}{7}$ unless stated otherwise. (in $, cm$)