It costs Rs. 2200 to paint the inner curved s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given:Total cost of painting $= Rs. 2200$Rate of painting $= Rs. 20 \, 	ext{per} \, m^2$Depth (height) of the vessel $(h)$ $= 10 \, m$First, calc

Vedclass · Accepted Answer

$1.75$

Vedclass · Answer

(A) Given:Total cost of painting $= Rs. 2200$Rate of painting $= Rs. 20 \, 	ext{per} \, m^2$Depth (height) of the vessel $(h)$ $= 10 \, m$First, calculate the inner curved surface area $(CSA)$ of the cylindrical vessel:$CSA = \frac{	ext{Total cost}}{	ext{Rate}} = \frac{2200}{20} = 110 \, m^2$The formula for the curved surface area of a cylinder is $CSA = 2 \pi rh$.Substituting the known values:$110 = 2 	imes \frac{22}{7} 	imes r 	imes 10$Solving for $r$:$110 = \frac{440}{7} 	imes r$$r = \frac{110 	imes 7}{440}$$r = \frac{7}{4} = 1.75 \, m$Thus, the radius of the base is $1.75 \, m$.

It costs $Rs. 2200$ to paint the inner curved surface of a cylindrical vessel $10 \, m$ deep. If the cost of painting is at the rate of $Rs. 20$ per $m^2$, find the radius of the base. (in $m$)

Similar Questions

Find the total surface area of a hemisphere of radius $42 \, cm$. (in $cm^2$)

If $V$ is the volume of a cuboid of dimensions $a, b, c$ and $S$ is its total surface area,then prove that $\frac{1}{V} = \frac{2}{S} \left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)$.

Curved surface area of a right circular cylinder is $4.4 \, m^2$. If the radius of the base of the cylinder is $0.7 \, m$,find its height. (Take $\pi = \frac{22}{7}$) (in $, m$)

$A$ room without a ceiling is $12 \, m$ long,$4 \, m$ wide,and $3 \, m$ high. Find the length of the longest rod that can be placed in that room. (in $m$)

The paint in a certain container is sufficient to paint an area equal to $9.375 \,m^2$. How many bricks of dimensions $22.5 \,cm \times 10 \,cm \times 7.5 \,cm$ can be painted out of this container?

Vedclass Test Series

Exam Paper Generator

Online Exam Module