A roller is 120 , cm long and has a diameter | vedclass

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

Question

(D) Given: Length of the roller $(h)$ = $120 \, cm = 1.2 \, m$. Diameter of the roller = $84 \, cm$,so radius $(r)$ = $42 \, cm = 0.42 \, m$. The area

Vedclass · Accepted Answer

$475.20$

Vedclass · Answer

(D) Given: Length of the roller $(h)$ = $120 \, cm = 1.2 \, m$. Diameter of the roller = $84 \, cm$,so radius $(r)$ = $42 \, cm = 0.42 \, m$. The area levelled in one revolution is equal to the curved surface area of the cylinder: $CSA = 2 \pi r h = 2 	imes \frac{22}{7} 	imes 0.42 	imes 1.2 \, m^2$. $CSA = 2 	imes 22 	imes 0.06 	imes 1.2 = 3.168 \, m^2$. Total area levelled in $500$ revolutions = $500 	imes 3.168 = 1584 \, m^2$. Cost of levelling = $1584 	imes 30 \, 	ext{paise} = 47520 \, 	ext{paise}$. Converting to Rupees: $47520 / 100 = Rs. 475.20$.

$A$ roller is $120 \, cm$ long and has a diameter of $84 \, cm$. If it takes $500$ complete revolutions to level a playground,determine the cost of levelling at the rate of $30 \, \text{paise}$ per $m^2$ (in $Rs.$). (Use $\pi = \frac{22}{7}$)

Similar Questions

The height of a cone is $30 \, cm$. $A$ small cone is cut off at the top by a plane parallel to the base. If its volume is $\frac{1}{27}$ of the volume of the given cone,at what height above the base is the section made? (in $cm$)

$A$ cone of height $9 \, cm$ with diameter of its base $18 \, cm$ is carved out from a wooden solid sphere of radius $9 \, cm$. The percentage of the wood wasted is

How many coins,$2 \, mm$ thick and $1.5 \, cm$ in diameter,should be melted in order to form a right circular cylinder with base diameter $6 \, cm$ and height $8 \, cm$?

Surface area of a cube is $600\, cm^{2}$. Find out the length of its diagonal.

The height of a wall is six times its width,and the length of the wall is seven times its height. If the volume of the wall is $16128 \, m^3$,its width is ...... $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module