Monica has a piece of canvas whose area is 55 | vedclass

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

Question

(C) The total area of the canvas is $551 \, m^2$. Since $1 \, m^2$ is lost in wastage,the area available for the tent is $551 \, m^2 - 1 \, m^2 = 550

Vedclass · Accepted Answer

$1232$

Vedclass · Answer

(C) The total area of the canvas is $551 \, m^2$. Since $1 \, m^2$ is lost in wastage,the area available for the tent is $551 \, m^2 - 1 \, m^2 = 550 \, m^2$.The curved surface area of a conical tent is given by $\pi rl$. Since the floor is not covered,we have $\pi rl = 550 \, m^2$.Given the radius $r = 7 \, m$,we substitute the values: $\frac{22}{7} 	imes 7 	imes l = 550$.Solving for $l$,we get $22l = 550$,so $l = \frac{550}{22} = 25 \, m$.Using the relation $l^2 = r^2 + h^2$,we find the height $h$: $h = \sqrt{l^2 - r^2} = \sqrt{25^2 - 7^2} = \sqrt{625 - 49} = \sqrt{576} = 24 \, m$.The volume of the conical tent is $V = \frac{1}{3} \pi r^2 h$.Substituting the values: $V = \frac{1}{3} 	imes \frac{22}{7} 	imes 7^2 	imes 24 = \frac{1}{3} 	imes 22 	imes 7 	imes 24 = 22 	imes 7 	imes 8 = 1232 \, m^3$.

Similar Questions

$A$ dome of a building is in the form of a hemisphere. From inside,it was white-washed at the cost of $Rs. 4989.60$. If the cost of white-washing is $Rs. 20$ per square metre,find the inside surface area of the dome. (in $, m^2$)

$A$ lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is $7 \,mm$ and the diameter of the graphite is $1 \,mm$. If the length of the pencil is $14 \,cm$,find the volume of the wood and that of the graphite. (in $,cm^3$)

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 $, m$)

State whether the following statement is True or False and justify your answer: If the radius of a cylinder is doubled and its height is halved,the volume will be doubled.

The ratio of radii of two cylinders with equal height is $4:5$. What is the ratio of their volumes?

Vedclass Test Series

Exam Paper Generator

Online Exam Module