Calc the total surface area of a solid cone slant height 25cm and vertical height height of 24cm take 3.14 for pi

Answer 1

First, we need to find the radius of the base of the cone using the Pythagorean theorem:

r = √(h^2 + r^2)
24^2 + r^2 = 25^2
576 + r^2 = 625
r^2 = 625 - 576
r^2 = 49
r = √49
r = 7

Now, we can calculate the total surface area of the cone:

Total Surface Area = πr(r + l)

Total Surface Area = 3.14 * 7(7 + 25)

Total Surface Area = 3.14 * 7(32)

Total Surface Area = 3.14 * 224

Total Surface Area = 704.96 cm^2

Therefore, the total surface area of the solid cone is 704.96 cm^2.