Ask Question
29 March, 21:35

Find the slant hight of a cone whose surface area is 440 cm^2 and radius is 70 cm. Use pi as 22/7

0
Answers (1)
  1. 29 March, 23:06
    0
    Slant height = 2cm

    Step-by-step explanation:

    We are using the formula for surface area of a cone

    A = πr (r + √ h^2 + r^2)

    But we are this formula

    A = πrl

    A - surface area of a cone

    π - pie 22/7

    r - radius

    L - slant height

    We are provided with some information

    A = 440cm^2

    r = 70cm

    π = 22/7

    Inserting the values

    A = πrl

    440 = 22/7 * 70 * l

    440 = 22 * 70 / 7 * l

    440 = 1540 / 7l

    Cross multiply

    440 * 7 = 1540l

    3080 = 1540l

    To get l, divide through by 1540

    3080/1540 = 1540l / 1540

    3080/1540 = l

    2 = l

    Slant height = 2cm

    The slant height of the cone is 2cm.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Find the slant hight of a cone whose surface area is 440 cm^2 and radius is 70 cm. Use pi as 22/7 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers