A cylinder is closed at both the ends by hemi | vedclass

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

Question

(D) The article consists of a cylinder and two hemispheres at its ends.Given: Radius of cylinder $(r)$ = $20 \, cm$,Total height $(H)$ = $80 \, cm$.Th

Vedclass · Accepted Answer

$10048$

Vedclass · Answer

(D) The article consists of a cylinder and two hemispheres at its ends.Given: Radius of cylinder $(r)$ = $20 \, cm$,Total height $(H)$ = $80 \, cm$.The height of the cylindrical part $(h)$ = $H - 2r = 80 - 2(20) = 80 - 40 = 40 \, cm$.The total surface area of the article = (Curved surface area of cylinder) + $2$ $	imes$ (Curved surface area of hemisphere).$= 2\pi rh + 2(2\pi r^2) = 2\pi r(h + 2r)$.$= 2 	imes 3.14 	imes 20 	imes (40 + 2 	imes 20)$.$= 125.6 	imes (40 + 40) = 125.6 	imes 80 = 10048 \, cm^2$.

Part $I$	Part $II$
$1.$ Volume of a cuboid	$a.$ $\frac{1}{3} \pi r^{2} h$
$2.$ Volume of a cone	$b.$ $\pi r^{2} h$
$3.$ Volume of a cylinder	$c.$ $\frac{4}{3} \pi r^{3}$
$4.$ Volume of a sphere	$d.$ $lbh$

$A$ cylinder is closed at both the ends by hemispheres. The radius of the cylinder is $20 \, cm$ and the total height of the article is $80 \, cm$. Find the total surface area of this combined article. $(\pi = 3.14)$ (in $cm^2$)

Similar Questions

Surface area of a sphere $= \dots \dots \dots \dots .$

$16$ glass spheres,each of radius $2 \,cm$,are packed into a cuboidal box of internal dimensions $16 \,cm \times 8 \,cm \times 8 \,cm$. The box is then filled with water. Find the volume of water filled in the box (in $cm^3$).

The volume of a sphere with diameter $10 \, cm$ is $\ldots \ldots \, cm^3$.

Which of the following correctly matches the information given in Part $I$ and Part $II$?

Part $I$ Part $II$

$1.$ Volume of a cuboid $a.$ $\frac{1}{3} \pi r^{2} h$

$2.$ Volume of a cone $b.$ $\pi r^{2} h$

$3.$ Volume of a cylinder $c.$ $\frac{4}{3} \pi r^{3}$

$4.$ Volume of a sphere $d.$ $lbh$

How many balls of radius $0.5\, cm$ can be produced by melting a metallic cylinder with radius $4\, cm$ and height $3\, cm$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module