The volume of a conical tent is 1232 , m^3 an | vedclass

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

Question

(D) Given: Volume of cone $V = 1232 \, m^3$,Base area $A = 154 \, m^2$,Width of canvas $w = 2 \, m$.Step $1$: Find the radius $r$.$A = \pi r^2 = 154$$

Vedclass · Accepted Answer

$275$

Vedclass · Answer

(D) Given: Volume of cone $V = 1232 \, m^3$,Base area $A = 154 \, m^2$,Width of canvas $w = 2 \, m$.Step $1$: Find the radius $r$.$A = \pi r^2 = 154$$\frac{22}{7} 	imes r^2 = 154 \Rightarrow r^2 = \frac{154 	imes 7}{22} = 49 \Rightarrow r = 7 \, m$.Step $2$: Find the height $h$.$V = \frac{1}{3} \pi r^2 h = 1232$$\frac{1}{3} 	imes 154 	imes h = 1232 \Rightarrow h = \frac{1232 	imes 3}{154} = 8 	imes 3 = 24 \, m$.Step $3$: Find the slant height $l$.$l = \sqrt{h^2 + r^2} = \sqrt{24^2 + 7^2} = \sqrt{576 + 49} = \sqrt{625} = 25 \, m$.Step $4$: Find the area of the canvas (Curved Surface Area).$CSA = \pi r l = \frac{22}{7} 	imes 7 	imes 25 = 550 \, m^2$.Step $5$: Find the length of the canvas.$Length = \frac{Area}{Width} = \frac{550}{2} = 275 \, m$.

The volume of a conical tent is $1232 \, m^3$ and the area of its base is $154 \, m^2$. Find the length of the canvas required to build the tent,if the canvas is $2 \, m$ in width. (in $m$) (Take $\pi = \frac{22}{7}$)

Similar Questions

Find the weight of a hollow cylindrical lead pipe $28\, cm$ long and $0.5\, cm$ thick. Its internal diameter is $8\, cm$. (in $kg$) (Weight of $1\, cm^3$ of lead is $11.4\, g$,$\pi = \frac{22}{7}$)

The total surface area of a hemisphere is $41.58 \text{ cm}^2$. Find its curved surface area (in $\text{cm}^2$).

$A$ solid cylinder has a total surface area of $462 \, cm^2$. Its curved surface area is $\frac{1}{3}$ of its total surface area. The volume of the cylinder is.......$cm^3$.

$A$ cone,a hemisphere,and a cylinder stand on equal bases and have the same height. The ratio of their volumes is:

The diagonal of a cubical box is $\sqrt{300} \text{ cm}$. Find out the surface area.

Vedclass Test Series

Exam Paper Generator

Online Exam Module