Answer: The surface area of a right circular cone can be found using the formula:
A = πr^2 + πrs, where r is the radius of the base, h is the height of the cone, and s is the slant height of the cone.
In this case, the radius of the base is 7 cm and the height is 24 cm, so the slant height can be found using the Pythagorean theorem:
s^2 = r^2 + h^2 = 7^2 + 24^2 = 49 + 576 = 625
s = 25 cm
Now we can find the surface area of one cap:
A = πr^2 + πrs = π * 7^2 + π * 7 * 25 = 49π + 175π = 224π cm^2
To find the total area of the sheet required to make 10 caps, we just need to multiply the surface area of one cap by 10:
Total area = 10 * 224π cm^2 = 2240π cm^2.
So the total area of the sheet required to make 10 caps is 2240π square cm.
Explanation: