A container is in the form of a cylinder clos | vedclass

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

Question

(A) The container consists of a cylinder and a hemisphere. Radius of the cylinder $(r)$ = $8.4 \,cm$. Radius of the hemisphere $(r)$ = $8.4 \,cm$. Tot

Vedclass · Accepted Answer

$11.088$

Vedclass · Answer

(A) The container consists of a cylinder and a hemisphere. Radius of the cylinder $(r)$ = $8.4 \,cm$. Radius of the hemisphere $(r)$ = $8.4 \,cm$. Total height of the container $(H)$ = $52.8 \,cm$. Height of the cylinder $(h)$ = $H - r = 52.8 - 8.4 = 44.4 \,cm$. Volume of the container = Volume of cylinder + Volume of hemisphere. Volume = $\pi r^2 h + \frac{2}{3} \pi r^3 = \pi r^2 (h + \frac{2}{3} r)$. Volume = $\frac{22}{7} 	imes (8.4)^2 	imes (44.4 + \frac{2}{3} 	imes 8.4)$. Volume = $\frac{22}{7} 	imes 70.56 	imes (44.4 + 5.6) = \frac{22}{7} 	imes 70.56 	imes 50$. Volume = $22 	imes 10.08 	imes 50 = 11088 \,cm^3$. Since $1000 \,cm^3 = 1 \,litre$,the volume in litres = $11088 / 1000 = 11.088 \,litres$.

$A$ container is in the form of a cylinder closed at one end by a hemisphere. The radius of the cylinder is $8.4 \,cm$ and the total height of the container is $52.8 \,cm$. How many litres of petrol can this container hold? (in $litres$)

Similar Questions

$A$ hemispherical bowl of internal radius $9 \,cm$ is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius $1.5 \,cm$ and height $4 \,cm$. How many bottles are needed to empty the bowl?

......... is a unit of volume.

$A$ metallic cylinder with diameter $1 \, cm$ and height $4 \, cm$ is melted and recast to produce balls of radius $\frac{1}{8} \, cm$. Find the number of balls produced.

The volume of a sphere is equal to $\ldots \ldots \ldots . .$

$A$ solid metallic sphere of radius $10.5 \, cm$ is melted and recast into a number of smaller cones,each of radius $3.5 \, cm$ and height $3 \, cm$. Find the number of cones so formed.

Vedclass Test Series

Exam Paper Generator

Online Exam Module