Answered

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Orange traffic cones comes in a variety of sizes. Approximate the volume, in cubic inches, of a traffic cone
that has a height of 2 feet and a diameter of 16 inches. Round your answer to the nearest tenth. Use 3.14
for a.

Sagot :

Answer:

V = 1607.7 in^3

V = 0.94 ft^3

Step-by-step explanation:

To find the volume of a traffic cone, use the formula for the volume of a cone: (1/3)*π*h*r^2

h = height

r = radius of cone

Step 1: determine variables and units

2 feet = 24 inches

diameter = 2 * radius

radius = (1/2) * diameter = (1/2)*16 in = 8 inches

Step 2: determine volume

V = (1/3)*π*h*r^2

V = (1/3)*3.14*24*(8)^2

V = 1607.7 in^3

Optional step 3: determine volume in ft^3

h = 2 ft

r = 0.67 ft

V = (1/3)*π*h*r^2 = (1/3)*3.14*2*(0.67)^2

V = 0.94 ft^3

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