The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = onethirdpi r2h. A coneshaped paper cup h
Mathematics
chelseakidd95
Question
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = onethirdpi r2h. A coneshaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
2 Answer

1. User Answers Billymkhoi
V= 1/3π*r^2*h
⇒ 142 cm^(2)= 1/3π*r^(2)*(8.5 cm)
⇒ ...
⇒ r= 3.994.
Rounded to the nearest centimeter, the final answer is 4 cm.
Hope this helps~ 
2. User Answers andromache
The radius to the nearest centimeter of the paper cup is 4cm.
Given that
 The volume of the coneshaped paper cup is 142 cubic centimeters.
 The height is 8.5 centimeters.
 Here v denotes the volume, r denotes the radius, h denotes the height.
Based on the above information, the following formula should be used.
[tex]V=\frac{1}{3}\times \pi \times r^2\times h\\\\142 = \frac{1}{3}\times \pi \times r^2\times 8.5\\\\142\times 3 = pi \times r^2\times 8.5\\\\426= pi \times r^2\times 8.5\\\\[/tex]
After solving this, the r should be 3.99
Therefore we can conclude that the radius to the nearest centimeter of the paper cup is 4cm.
Learn more: brainly.com/question/16394302