A hollow cylinder of height 3,cm is recast in | vedclass

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

Question

(B) Let the radius of the solid cylinder be $r\,cm$ and its height be $H = 9\,cm$ (assuming the height of the solid cylinder is $9\,cm$ based on the v

Vedclass · Accepted Answer

$2.4$

Vedclass · Answer

(B) Let the radius of the solid cylinder be $r\,cm$ and its height be $H = 9\,cm$ (assuming the height of the solid cylinder is $9\,cm$ based on the volume calculation provided).The volume of the hollow cylinder is given by $V = \pi(R^2 - r_{in}^2)h$,where $R = 4.3\,cm$,$r_{in} = 1.1\,cm$,and $h = 3\,cm$.$V = \pi(4.3^2 - 1.1^2) 	imes 3 = \pi(18.49 - 1.21) 	imes 3 = \pi(17.28) 	imes 3 = 51.84\pi\,cm^3$.The volume of the solid cylinder is $V = \pi r^2 H$. Given $H = 9\,cm$:$51.84\pi = \pi r^2 	imes 9$.$r^2 = \frac{51.84}{9} = 5.76$.$r = \sqrt{5.76} = 2.4\,cm$.

$A$ hollow cylinder of height $3\,cm$ is recast into a solid cylinder. If the external and internal radii of the hollow cylinder are $4.3\,cm$ and $1.1\,cm$ respectively,what will be the radius of the solid cylinder? (in $cm$)

Similar Questions

The sum of the radius of the base and the height of a solid cylinder is $37 \, m$. If the total surface area of the cylinder is $1628 \, m^2$,find the volume (in $m^3$).

The height of a right circular cylinder is $6 \, m$. $3$ times the sum of the areas of its two circular faces is equal to twice the area of its curved surface. The radius of the base is ...... $m$.

$A$ cubic metre of silver weighing $900\, Kg$ is rolled into a $16\, m$ long square bar. Find out the weight of an exact cube cut off from it.

The volume of a right circular cone is $1232\, cm^3$ and its vertical height is $24\, cm$. Its curved surface area is.......$cm^2$.

Three cubes with sides in the ratio $3:4:5$ are melted to form a single cube whose diagonal is $12\sqrt{3} \text{ cm}$. The sides of the cubes are

Vedclass Test Series

Exam Paper Generator

Online Exam Module