The area of canvas required to construct a cone of height 24 m and base radius 7 m is
$500 m^{2}$
$520 m^{2}$
$550 m^{2}$
none of these

Question

The area of canvas required to construct a cone of height 24 m and base radius 7 m is500 m-2520 m-2550 m-2none of these

Toppr Admin · Accepted Answer

Consider the given equation-Consider the given equation-r-7h-24Req- Canvas- CSA of cone -x3C0-rlAlso- l-x221A-242-72-x221A-576-49-x221A-625l-25mNow-Req- Canvas-x3C0-xD7-7-xD7-25-22-xD7-25-550m-Area req- of canvas is 550m

The area of canvas required to construct a cone of height 24 m and base radius 7 m is500m2520m2550m2none of these

Consider the given equation, Consider the given equation,r=7h=24Req. Canvas= CSA of cone =πrlAlso, l=√242+72=√576+49=√625l=25mNow,Req. Canvas=π×7×25=22×25=550m Area req. of canvas is 550m

The area of canvas required to construct a cone of height 24 m and base radius 7 m is
$500 m^{2}$
$520 m^{2}$
$550 m^{2}$
none of these

Consider the given equation,

Consider the given equation,
$r = 7$
$h = 24$
Req. Canvas= CSA of cone $= π r l$
Also, $l = \sqrt{24^{2} + 7^{2}}$
$= \sqrt{576 + 49} = \sqrt{625}$
$l = 25$ m
Now,
Req. Canvas $= π \times 7 \times 25$
$= 22 \times 25$
$= 550$ m

Area req. of canvas is $550 m$