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?

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 228 cm The lateral area is I class=

Respuesta :

9514 1404 393

Answer:

  • 262.2π cm²
  • 392.16π cm²

Step-by-step 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