Question

Find the surface area of a right cone with diameter 30 in. and slant height 8 in.Your answerEXTRA CREDIT: Find the surface area of the figure below. Round to the nearesttenth, if necessary.10 in?

Answer 1

Answer:

Surface area = 1084 in²

Step-by-step explanation:

To find the surface area of a right cone, we can use the following formula:

$\boxed{{Area = \pi r^2 + \pi rl}}$,

where:

• r = radius

• l = slant height.

In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.

Using this information and the formula above, we can calculate the surface area of the cone:

Surface area = $\pi \times (15)^2 + \pi \times 15 \times 8$

                     = $345 \pi$

                     $\approx$ 1084 in²