# Monica Has a Piece of Canvas Whose Area is 551 M2. She Uses It to Have a Conical Tent Made, With a Base Radius of 7m. Assuming that All the Stitching Margins and Wastage Incurred While Cutting, Amou - Mathematics

Monica has a piece of Canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7m. Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately 1 m2. Find the volume of the tent that can be made with it.

#### Solution

Given that,

Area of canvas  551m^2 and area of the canvas lost in wastage is 1m^2

∴ area of canvas available for making the tent is (551-1)m^2=550m^2.

SA of tent =550m^2 required base radius of conical tent= 7m

CSA of tent=550m^2

pirl=550m^2

⇒22/7xx7xxl=550

⇒l=550/22=25m

Now, WKT

l^2=r^2+h^2

⇒(25)^2-(7)^2=h^2

⇒ h=sqrt(625-49)

=sqrt576=24m

So, the volume of the conical tent =1/3pir^2h

= 1/3xx3.14xx(7xx7)(24)m^3=1232m^3

Concept: Surface Area of a Right Circular Cone
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.2 | Q 15 | Page 21