Mathematics

Question

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = one-thirdpi r2h. A cone-shaped 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?
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = one-thirdpi r2h. A cone-shaped paper cup h

2 Answer

  • 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~
  • The radius to the nearest centimeter of the paper cup is 4cm.

    Given that

    • The volume of the cone-shaped 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

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