The circumference of the base of a 10 m high conical tent is 44 m. Calculate the length of the canvas used in making the tent if width of the canvas is 2 m.
For cone
Base radius (r) = 8 m
Height (h) = 6m
= 10 m
∴ Curved surface area = πrl = π(8)(10) = 80π m2
For cylinder
Base radius (R) = 8 m Height (H) = 14 m
∴ Curved surface area = 2πRH = 2 ⋅ π ⋅ 8 ⋅ 14 = 224π m2 Total curved surface area = Curved surface area of the cone + Curved surface area of the cylinder
= 80π + 224π = 304π m2 = 304 x 3.14 m2 = 954.56 m2
∴ Cost of canvas = 954.56 x 50 = र 47728
A com cob, shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 cm2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.