Question

A

company wants to design a cylindrical object that has a height of 10
centimeters and a volume of at least 2,000 cubic centimeters, but not. PoKE
than 2,500 cubic centimeters.
What is a possible radius, in centimeters, of the cylinder? Round your answer
to the nearest hundredth. Show me how you got it

Answer 1

• 8 cm

Explanation:

Set inequality as per question:

• 2000 ≤ V ≤ 2500

We know that:

• V = πr²h
• h = 10 cm
• π = 3.14

Substitute and solve for r:

• 2000 ≤ 3.14*10r² ≤ 2500
• 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
• 63.69 ≤ r² ≤ 79.62
• 64 ≤ r² < 81
• r² = 64 ⇒ r = 8 cm is the possible radius