Ask Question
20 December, 09:26

The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter

+5
Answers (1)
  1. 20 December, 09:38
    0
    The length of the diameter is 18 cm

    Step-by-step explanation:

    In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

    Mathematically, the surface area of a cylinder can be represented by the equation;

    A = 2 π r (r + h)

    since r = h, we can say h = r

    Thus, the equation becomes;

    A = 2 π r (r + r)

    A = 2 π r (2r)

    A = 4 π r^2

    From the question, we can see that the value of A = 324 π

    substituting this, we have;

    324 π = 4 π r^2

    4r^2 = 324

    r^2 = 324/4

    r^2 = 81

    r = root of 81

    r = 9 cm

    The value of the diameter is two times the radius

    Hence D = 2r = 2 * 9 = 18 cm
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers