The capacity of a tank,in the form of a cylin | vedclass

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

Question

(A) The radius of the base of the cylinder is $r = \frac{28}{2} = 14 \, m$.Let $h$ be the depth (height) of the tank.The capacity (volume) of the tank

Vedclass · Accepted Answer

$2464$

Vedclass · Answer

(A) The radius of the base of the cylinder is $r = \frac{28}{2} = 14 \, m$.Let $h$ be the depth (height) of the tank.The capacity (volume) of the tank is given by $V = \pi r^2 h = 6160 \, m^3$.Substituting the values: $\frac{22}{7} 	imes 14 	imes 14 	imes h = 6160$.$22 	imes 2 	imes 14 	imes h = 6160 \implies 616 	imes h = 6160 \implies h = 10 \, m$.The inner curved surface area is $A = 2 \pi r h = 2 	imes \frac{22}{7} 	imes 14 	imes 10 = 880 \, m^2$.The cost of painting the inner curved surface at the rate of ₹ $2.8$ per $m^2$ is $880 	imes 2.8 = ₹ 2464$.

The capacity of a tank,in the form of a cylinder,is $6160 \, m^3$. If the diameter of its base is $28 \, m$,find out the cost of painting its inner curved surface at the rate of ₹ $2.8$ per $m^2$. (Use $\pi = \frac{22}{7}$)

Similar Questions

$A$ rectangular tin sheet is $12 \, cm$ long and $5 \, cm$ broad. It is rolled along its length to form a cylinder by making the opposite edges just touch each other. Then the volume of the cylinder is

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $1 \, cm$ and height $5 \, cm$ is ....... $\pi \, cm^3$.

The numerical values of the volume and the area of the lateral surface of a right circular cone are equal. If the height of the cone is $h$ and the radius is $r,$ the value of $\frac{1}{h^{2}}+\frac{1}{r^{2}}$ is

The circumference of the base of a $9\, m$ high conical tent is $44\, m$. The volume of the air contained in it is.........$m^3$

The radius of a wheel is $3.5 \, cm$. What is the distance (in $cm$) travelled by the wheel in $20$ revolutions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module