The two cones are similar. find the surface area of the larger cone. round your answer to the nearest hundredth. a.810.28cm squared. b.847.80cm squared. c.868.30cm squared. d.886.25cm squared

The correct answer is letter C. 868.30 cm^2 (centimeter squared)

See attached figure for reference of the two cones.

Solution:

Find first the radius.

To find the radius we must multiply 13.8 to 4.6 and multiply it by 3.7

Thus,

(13.8 / 4.6) x 3.7 = 11.1

To find the surface area of the larger cone we use this formula:

((pi x rad x slide length) + (pi x rad^2))

Where:

rad or radius = 11.1
slide length = 13.8

((pi x 11.1 x 13.8) + (pi x 11.1^2)) = 868.30 cm^2