The original can has a diameter of 3 cm, so it has a radius of 1.5 cm.
The volume of the original can is 9p cubic cm, which means its radius cubed is 2p.
To increase the volume by 25%, we can multiply the radius cubed by 1.25:
2p * 1.25 = 2.5p
Now we solve for the new radius by taking the cube root of 2.5p and rounding to the nearest tenth:
radius = (2.5p)^(1/3) ≈ 1.4 cm.
A company manufactures cylindrical cans. Each can has a volume of 9p cubic centimetres and a height of 4 centimetres. The diameter of the can is 3. use 3.14 as pi. The company plans to manufacture a can with a volume that is 25% larger than
the original can. What is the radius of the new can if the height remains the same?
Round your answer to the nearest tenth.
1 answer