19. What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Answer:

Lateral area of the cone = 4,712 m (Approx)

Step-by-step explanation:

Given:

Height of cone (h) = 40m

Radius (r) = Diameter / 2 = 60 / 2 = 30m

Find:

Lateral area of the cone = ? ?

Computation:

$Slant\ height(l) =\sqrt{h^2+r^2} \\\\ Slant\ height(l) =\sqrt{40^2+30^2} \\\\ Slant\ height(l) =\sqrt{1,600+9,00} \\\\ Slant\ height(l) = 50m$

$Lateral\ area\ of\ the\ cone =\pi rl\\\\ Lateral\ area\ of\ the\ cone = \frac{22}{7}(30)(50)\\\\Lateral\ area\ of\ the\ cone= 4,712 (Approx)$

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