The definition of the set E gives you a natural choice for the limits in the integral:

Computing the integral, we get



Answer:
Hence, the surface area of cone is:
282.6 cm^2 which is approx 283 cm^2.
Step-by-step explanation:
We are given:
- The circular base of a cone has a radius of 5 centimeters.
i.e. r=5 cm.
- The height of the cone is 12 centimeters
i.e. h=12 cm.
- The slant height is 13 centimeters.
i.e. l=13 cm.
Now we know that the surface area(S.A.) of cone is given by:

Hence by putting the value of l,r and π in the formula we get:

Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.
In the isosceles trapezoid ABCD, draw two perpendiculars AM and BL from A and B to the side CD.
Now, LM = BA = 5 m
CD = CL + LM + MD
= CL + 5 + CL (CL = MD)
= 2CL + 5
But, CD = 11
Therefore, 2CL + 5 = 11
2CL = 11 - 5
= 6
CL = 6/2 = 3m
MD = 3m
Now, consider the right triangle AMD.
We have,

= 
= 16 - 9
= 7
Hence, height of the isosceles trapezoid = AM = 
Answer:
341°
Step-by-step explanation:
