the radius what is the surface area in square inches of a cone with a radius of 10 in and a slant height of 15 in use 3.14 for pi
To calculate the surface area of a cone, we need to find the curved surface area (lateral area) and add it to the base area.
The curved surface area of a cone is given by the formula: π * r * l, where r is the radius and l is the slant height.
Using the given values, we can calculate the curved surface area as follows:
Curved surface area = π * 10 in * 15 in
= 150π square inches
≈ 471.24 square inches (rounded to two decimal places)
The base area of a cone is given by the formula: π * r^2, where r is the radius.
Using the given radius, we can calculate the base area as follows:
Base area = π * (10 in)^2
= 100π square inches
To find the total surface area, we add the curved surface area and the base area:
Total surface area = Curved surface area + Base area
= 471.24 square inches + 100π square inches
≈ 802.96 square inches (rounded to two decimal places)