Determine the approximate total surface area of a cone of height 7 cm and base radius 24 cm.(Take: = 22/7).  Ops:   A. 3680 cm2    B. 3710 cm2    C. 3717 cm2    D. 3696 cm2

The total surface area of a cone is given by the formula:

A = πr(r + √(h² + r²))

where:

• A is the total surface area,
• r is the radius of the base of the cone,
• h is the height of the cone.

Given that r = 24 cm and h = 7 cm, we can substitute these values into the formula:

A = π * 24 * (24 + √(7² + 24²))

First, calculate the value inside the square root:

√(7² + 24²) = √(49 + 576) = √625 = 25

Then substitute this value back into the formula:

A = π * 24 * (24 + 25) = π * 24 * 49

Given that π = 22/7, substitute this value into the formula:

A = 22/7 * 24 * 49 = 3696 cm²

So, the approximate total surface area of the cone is 3696 cm². Therefore, the correct answer is D. 3696 cm².