what is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? use 3.14 for pi
The formula to calculate the surface area of a cone is given by:
Surface Area = πr(r + l),
where r represents the radius and l represents the slant height.
Given that the radius is 10 inches and the slant height is 15 inches, we can plug these values into the formula:
Surface Area = 3.14 * 10(10 + 15)
= 3.14 * 10(25)
= 3.14 * 250
= 785 square inches.
Therefore, the surface area of the cone is 785 square inches.
what is the surface area of the cone? use 3.14 for pi.
slant height = 22 cm
diameter = 25 cm
To calculate the surface area of a cone, we need to know the radius, not the diameter. However, since we know the diameter is 25 cm, we can calculate the radius by dividing the diameter by 2.
Radius = Diameter / 2
Radius = 25 cm / 2
Radius = 12.5 cm
Using the formula for the surface area of a cone:
Surface Area = πr(r + l)
where r represents the radius and l represents the slant height.
Surface Area = 3.14 * 12.5 (12.5 + 22)
Surface Area = 3.14 * 12.5 (34.5)
Surface Area = 3.14 * 12.5 * 34.5
Surface Area ≈ 1330.575 square cm
Therefore, the surface area of the cone is approximately 1330.575 square cm.
try again
Apologies for the mistake. Let's calculate the correct surface area using the given information.
The radius of the cone is half of the diameter, so:
Radius = 25 cm / 2
Radius = 12.5 cm
Now we can use the formula for the surface area of a cone:
Surface Area = πr(r + l)
Surface Area = 3.14 * 12.5 (12.5 + 22)
Surface Area = 3.14 * 12.5 (34.5)
Surface Area = 3.14 * 12.5 * 34.5
Surface Area ≈ 1419.375 square cm
Therefore, the surface area of the cone is approximately 1419.375 square cm.
To find the surface area of a cone, you need to calculate the curved surface area, also known as the lateral surface area, and add it to the base area.
The curved surface area of a cone can be found using the formula: A = π * r * l, where "A" represents the curved surface area, "π" is pi (approximately 3.14), "r" is the radius of the cone's base, and "l" is the slant height.
Given that the radius (r) is 10 inches and the slant height (l) is 15 inches, you can substitute these values into the formula:
A = 3.14 * 10 * 15
To calculate the base area, you need the formula for the area of a circle, which is: A = π * r^2. The base of the cone is a circle with radius (r).
Now, let's calculate the base area:
A_base = 3.14 * (10)^2
To find the total surface area, you need to add the curved surface area and the base area together:
A_total = A + A_base
Substituting the calculated values into the formula, you have:
A_total = (3.14 * 10 * 15) + (3.14 * (10)^2)
Now, you can simply evaluate this expression to find the surface area of the cone in square inches.