A company is designing a new cylindrical water bottle. The volume of the bottle will be 113 cmcubed. The height of the water bottle is 7.1 cm. What is the radius of the water bottle? Use 3.14 for pi.
To find the radius of the water bottle, we will use the formula for the volume of a cylinder:
Volume = πr²h
Given:
Volume = 113 cm³
Height (h) = 7.1 cm
π = 3.14
Substitute the given values into the formula and solve for the radius (r):
113 = 3.14r²(7.1)
113 = 22.274r²
r² = 113 / 22.274
r² = 5.07
r ≈ √5.07
r ≈ 2.25
So, the radius of the water bottle is approximately 2.25 cm.