183k views
3 votes
A cone has a volume of 180mm^3. If the height and radius of the cone are equal in length, find the radius r in mm. Round your answer to two decimal places

User Redab
by
4.3k points

2 Answers

4 votes

Answer:

radius = 5.56 mm

Explanation:

User William Orazi
by
4.9k points
6 votes

Answer:

r = 5.56 mm

Explanation:

vol of cone = 1/3 π r² h

where

vol = 180 mm³

h = r

find r

plugin values into the formula:

180 = 1/3 * π r³

r³ = (180 * 3) / π

r = ∛171.9

r = 5.56 mm

User Tobigue
by
5.4k points