The formula to calculate the surface area of a cone is given by:
Surface Area = π * r * (r + l)
where:
π is pi (approximately 3.14159)
r is the radius of the base of the cone
l is the slant height of the cone
Given that the radius is 4 ft. and the slant height is 10 ft., we can substitute these values into the formula:
Surface Area = 3.14159 * 4 * (4 + 10)
Surface Area = 3.14159 * 4 * 14
Surface Area ≈ 175.929 ft.²
Therefore, the surface area of the cone is approximately 175.929 ft.² to the nearest foot.
What is the surface area of a cone to the nearest foot with a radius of 4 ft. and a slant height of 10 ft.?(1 point)%0D%0A ft.2
3 answers
wronge
Apologies for the incorrect response. Let's calculate the surface area of the cone again.
The surface area of a cone is given by the formula:
Surface Area = π * r * (r + l)
Given that the radius is 4 ft. and the slant height is 10 ft., we can substitute these values into the formula:
Surface Area = 3.14159 * 4 * (4 + 10)
Surface Area = 3.14159 * 4 * 14
Surface Area ≈ 175.929 ft.²
To the nearest foot, the surface area of the cone is approximately 176 ft.².
The surface area of a cone is given by the formula:
Surface Area = π * r * (r + l)
Given that the radius is 4 ft. and the slant height is 10 ft., we can substitute these values into the formula:
Surface Area = 3.14159 * 4 * (4 + 10)
Surface Area = 3.14159 * 4 * 14
Surface Area ≈ 175.929 ft.²
To the nearest foot, the surface area of the cone is approximately 176 ft.².