Answer:
base area: 25π cm^2
lateral area = 50π cm^2
surface area = 75π cm^2
Explanation:
Put the given numbers into the appropriate formula and do the arithmetic.
The base area is the area of a circle, given by the formula ...
A = πr^2
A = π(5 cm)^2 = 25π cm^2
The lateral area is half the product of the circumference and the slant height. It is given by the formula ...
LA = (1/2)(2πrs) = πrs . . . . where s is the slant height
LA = π(5 cm)(10 cm) = 50π cm^2
The total surface area is the sum of the base area and the lateral area:
surface area = 25π cm^2 + 50π cm^2 = 75π cm^2