Question

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches. What is the approximate lateral area of the cone? Use 3. 14 for π and round to the nearest whole number. 565 square inches 580 square inches 1,131 square inches 1,159 square inches.

Answer 1

The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

What is the lateral area of cone?

Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.

$A=\pi r\sqrt{h^2+r^2}$

here. (h) is the height of the cone and (r) is the radius of the cone.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.

Put these values in the above formula as,

$A=(3.14) (9)\sqrt{40^2+9^2}\\A\approx1159\rm \; in^2$

Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

Learn more about the lateral area of the cone here:

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