Question

After painting his porch, Jamil has 1/4 of a can of paint remaining. The can has a radius of 8cm and a height of 20 cm. He wants to pour the remaining paint into a smaller can for storage. The smaller can has a radius of 5cm.
What does the height of the smaller can need to be to hold all of the paint?

Answer 1

Answer:

12.8 cm

Step-by-step explanation:

Volume of cylinder: V=Bh= πr²h

Volume of the big can:

• V=πr²h= 3.14*8²*20= 4019.2 cm³

Volume of remaining paint:

• 4019.2*1/4= 1004.8 cm³

Volume of smaller can is equal to volume of remaining paint:

• V=πr²h
• 3.14*5²*h= 1004.8 cm³

• 78.5*h=1004.8 cm³

• h=1004.8/78.5

• h=12.8 cm

Answer: Height of the smaller can need to be 12.8 cm

Answer 2

Answer:

12.8

Step-by-step explanation:

got it right on khan