Question

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
Answer
what is the surface area of the cone? use 3.14 for pi.
slant height = 22 cm
diameter = 25 cm
Answer
try again
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.