The volume of a right circular cone is 45 cubic centimeters, and the radius of the base is 3 centimeters. What is the height of the cone in centimeters?

Question

asked Oct 12, 2021 62.8k views

1 Answer

Chillworld · Answer 1 · 2021-10-17T16:03:56+0000

Answer:

5cm

Explanation:

Given parameters:

Volume = 45cm³

Radius = 3cm

Unknown:

Height of the cone = ?

Solution:

Volume of cone is given as ;

V =
$(1)/(3) \pi$ r² h

r is the radius

h is the height

45 =
$(1)/(3) \pi$ x 3² x h

45 = 3π x h

h =
(45)/(3 x3.142) = 4.77cm

5cm is the closest answer choice