A right cylindrical vessel is full with water | vedclass

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

Question

(B) Let the radius of the cylinder be $r$ and its height be $h$. The volume of the cylinder is $V_{cylinder} = \pi r^{2} h$.The volume of a right cone

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(B) Let the radius of the cylinder be $r$ and its height be $h$. The volume of the cylinder is $V_{cylinder} = \pi r^{2} h$.The volume of a right cone with the same radius $r$ and height $h$ is $V_{cone} = \frac{1}{3} \pi r^{2} h$.Let $x$ be the number of cones required to store the water from the cylinder.Therefore,$x 	imes V_{cone} = V_{cylinder}$.Substituting the values,$x 	imes (\frac{1}{3} \pi r^{2} h) = \pi r^{2} h$.Solving for $x$,we get $x = 3$.

$A$ right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water?

Similar Questions

The curved surface area of a right circular cone of height $15\, cm$ and base diameter $16\, cm$ is..........$\pi\, cm^2$.

$A$ cubical metallic tank whose each edge measures $30\, cm$ is completely filled with water. If $2.7\, litres$ of water is taken out of it, what will be the depth of the remaining water in the tank? (in $cm$)

If the measured value of the radius is $1.5 \%$ larger,the percentage error (correct to one decimal place) made in calculating the volume of a sphere is

Find the diagonal of a cuboid whose dimensions are $12\, m$ by $10\, m$ by $8\, m$.

The edge of an ice cube is $14 \, cm$. The volume of the largest cylindrical ice cube that can be formed out of it is.......$cm^3$

Vedclass Test Series

Exam Paper Generator

Online Exam Module