A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Given:
Volume of cone = 105 cubic units
Radius = 5 units
Formula used : volume of cone = ⅓πr²H
Putting value in formula, we get
105 = ⅓ × 22/7 × 5² × h
105×3×7 = 22 ×25 × h
2205 = 550 × h
Dividing both sides by 550, we get
2205/550 = 550 × h/550
h = 4
Thus, height of cone is 4 units.