How many spherical lead shots,each of diamete | vedclass

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

Question

(B) Given that,spherical lead shots are made from a solid rectangular lead piece.$	herefore$ Number of spherical lead shots $= \frac{	ext{Volume of

Vedclass · Accepted Answer

$1500$

Vedclass · Answer

(B) Given that,spherical lead shots are made from a solid rectangular lead piece.$	herefore$ Number of spherical lead shots $= \frac{	ext{Volume of solid rectangular lead piece}}{	ext{Volume of a spherical lead shot}}$ ......$(i)$Given,diameter of a spherical lead shot $= 4.2 \, cm$.$	herefore$ Radius of a spherical lead shot,$r = \frac{4.2}{2} = 2.1 \, cm$.Volume of a spherical lead shot $= \frac{4}{3} \pi r^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes (2.1)^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes 2.1 	imes 2.1 	imes 2.1 = 4 	imes 22 	imes 0.1 	imes 2.1 	imes 2.1 = 38.808 \, cm^3$.Volume of the rectangular lead piece (cuboid) $= l 	imes b 	imes h = 66 	imes 42 	imes 21 = 58212 \, cm^3$.From Eq. $(i)$,Number of spherical lead shots $= \frac{58212}{38.808} = 1500$.Hence,the required number of spherical lead shots is $1500$.

How many spherical lead shots,each of diameter $4.2 \, cm$,can be obtained from a solid rectangular lead piece with dimensions $66 \, cm \times 42 \, cm \times 21 \, cm$?

Similar Questions

$A$ cylinder is closed at both the ends by hemispheres. The radius of the cylinder is $4.2 \, cm$ and the total height of the solid is $15 \, cm$. Find the volume of this solid (in $cm^3$).

The base of a cone with radius $15\, cm$ and slant height $25\, cm$ is hemispherical. Find the volume of this solid. $(\pi=3.14)$ (in $cm^{3}$)

$A$ metallic sphere with radius $42\, cm$ is melted to cast $8000$ identical balls. Find the radius of these balls (in $cm$).

The radii of a frustum of a cone are $28 \, cm$ and $7 \, cm$ and its height is $72 \, cm$. Find its curved surface area,total surface area,and volume.

The radii of a bucket in the shape of a frustum of a cone are $28 \, cm$ and $21 \, cm$. If its capacity is $28.490 \, \text{litres}$, find its height in $cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module