what is the lateral surface area of the cone with radius 9cm and slant 12.5cm?
possible answers;
221cm^2
240cm^2
304cm^2
620cm^2
Could someone please help
for a cone of radius r, slant s,
L = πrs
To find the lateral surface area of a cone, we need to use the formula:
Lateral Surface Area = πrℓ,
where:
- π is a constant factor approximately equal to 3.14159
- r is the radius of the base of the cone
- ℓ is the slant height of the cone
In this case, the radius is given as 9cm and the slant height is given as 12.5cm. Therefore, we can substitute these values into the formula to find the lateral surface area:
Lateral Surface Area = 3.14159 × 9 × 12.5
Calculating this expression, we get:
Lateral Surface Area ≈ 353.434875 cm^2
Now, looking at the possible answers provided, we see that none of them match the calculated value of 353.434875 cm^2. This might indicate a mistake in the options or in the calculation.