Mathematics
The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the :
(i) radius of the floor,
(ii) height of the tent,
(iii) length of the canvas required to cover this conical tent if its width is 2 m.
Mensuration
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Answer
(i) Given,
Area of base floor = 154 m2
Hence, radius of the floor = 7 m.
(ii) Given,
Volume of tent = 1232 m3
Hence, height of tent = 24 m.
(iii) By formula,
⇒ l2 = r2 + h2
⇒ l2 = (7)2 + (24)2
⇒ l2 = 49 + 576
⇒ l2 = 625
⇒ l =
⇒ l = 25 m.
Curved surface area of cone = πrl
=
= 550 m2.
Let length of canvas be l.
Area of canvas = Curved surface area of cone
⇒ l × b = 550
⇒ l × 2 = 550
⇒ l =
⇒ l = 275 m.
Hence, length of canvas required = 275 m.
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