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22 August, 22:41

The lateral surface area S of a right circular cone is given by (equation given below). What radius should be used to produce a cone of height 5 inches and lateral surface area 100 square inches?

a. r = 1.52138.

b. r = 4.658

c. r = 78

d. r = 6.7432

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  1. 22 August, 22:50
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    Given:

    Lateral Area = π * r * (√h² + r²)

    Lateral Area = 100 in²; height = 5 in

    I find it hard to derive the formula of r because of the radical sign. So, I'll just plug each radius to the formula to check confirm the given lateral area.

    a) r = 1.52138 ⇒ LA = 24.98

    b) r = 4.658 ⇒ LA = 100

    c) r = 78 ⇒ LA = 19152.68

    d) r = 6.7432 ⇒ LA = 177.84

    The radius is B.) r = 4.658 inches
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