Question

Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the

answer in terms of .
23 cm
22.8 cm
The lateral area is
It cm?
The surface area is
a cm?

Answer 1

9514 1404 393

Answer:

• 262.2π cm²
• 392.16π cm²

Explanation:

The lateral surface area is the product of half the circumference, and the slant height:

LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

A = 392.16π cm²