area and volume10marks!1quest.

2009-03-07 6:53 pm
The height of a right conical tent is 2.5m and it covers an area of 4πm^2 on the ground.Find the total surface area ( including the base )of the tent.
please answer in details

回答 (1)

2009-03-07 7:21 pm
✔ 最佳答案
Since the base has an area of 4πm^2, the radius is 2m. The side of the cone will be (2.5^2 + 2^2)^(1/2)m = (10.25)^(0.5)m = 3.201m

Since the height is 2.5m and it is a right conical tent, the surface area of just the cone is πX 2 X S = πX 2 X 3.201 = 20.12

for the base, it is 4π

Total surface area is 32.67 m^2

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