Question

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

Answer 1

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

Answer 2

Answer: The answer is C.868.30cm