# the height of a conical tent is 3m and its semi vertical angle is 45 degrees.?

if the height and the semi vertical angle is increased by 5 percent each,show that the surface area of the tent increases by 21.78%.

please helppppppppppppp!!!!!!

im gonna faill!

### 1 Answer

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- 1 decade agoFavorite Answer
First, find the slant height of the cone

this is a trig function

ht is 3 metres and angle is 45 degrees

solve this and it will give you the radius of the circle

then find the circumference of the circle

The formual for the area of the cone is:

Perimter (circumference) of base x 1/2 slant height

When you have found this

add 5% to the 3 m and then do the calculations over again to see if it is indeed 21.78% increase.

check again by adding 5% to the (3M +5%) and then do it all over again to see if it is again a 21.78% increase

I am sure you can work out these little problems

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