Question

ervor= 254.34 9. A cone has a height of 14 centimeters and a base with a circumference of 8.4 centimeters. What is the volume of the cone in terms of ? 10. Higher Order Thinking A cone has a radius of 39 centimeters and a slant height of 65 centimeters. .. What is the volume of the cone in terms of 2 V = 3 rah ₃ x3.14×4.2²x14 V = 823217 cm b. Reasoning of the radius is now half the size and the height is the same, how has the volume of the cone changed? Assessment Practice 12. What is the volume, in cubic Inches, of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for #, and round to the nearest hundredth. 11. List the cones described below in order from least volume to greatest volume. • Cone 1: radius 16 cm and height 12 cm • Cone 2: radius 12 cm and height 16 cm • Cone 3: radius 8 cm and height 24 cm Cone 1, Cone 2, Cone 3 ® Cone 2, Cone 1, Cone 3 Cone 3, Cone 2, Cone 1 Cone 3, Cone 1, Cone 2

Answer 1

The volume of a cone can be found using the formula V = (1/3) * π * r^2 * h. The volume of a cone changes when the radius is halved but the height remains the same.

Step-by-step explanation:

The volume of a cone can be found using the formula V = (1/3) * π * r2 * h, where r is the radius and h is the height. For the first question, the volume of the cone can be calculated as (1/3) * 3.14 * (8.4/2π)2 * 14 = 9.52 cubic centimeters. For the second question, if the radius is halved while keeping the height the same, the new volume of the cone can be calculated as (1/3) * 3.14 * (39/2π)2 * 14 = 823.22 cubic centimeters. For the third question, the volume of the cone can be calculated as (1/3) * 3.14 * 92 * 16 = 1207.06 cubic inches.

The cones described in question 11 can be ordered from least volume to greatest volume as follows: Cone 2, Cone 1, Cone 3.

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