Question

what is the surface area of a cone
it has a diameter of25 cm
and a slant height of 22 cm

Answer 1

To find the surface area of a cone, you need to know the radius and the slant height of the cone.

Given that the diameter of the cone is 25 cm, the radius can be found by dividing the diameter by 2:
Radius = 25 cm / 2 = 12.5 cm

Now that we have the radius (12.5 cm) and the slant height (22 cm), we can calculate the surface area of the cone using the formula:

Surface Area = πr(r + l)

where π is a mathematical constant approximately equal to 3.14159, r is the radius, and l is the slant height.

Surface Area = 3.14159 × 12.5 cm × (12.5 cm + 22 cm)
Surface Area = 3.14159 × 12.5 cm × 34.5 cm
Surface Area = 1356.796875 cm²

Therefore, the surface area of the cone is approximately 1356.796875 cm².