An ice-cream cone has a height of 6 in and a diameter or 3 in, how much ice cream can the cone hold?
Answer is 14.1 inches cubed but how do they get there? and round to the nearest 10th
If an ice-cream cone has a height of 6 in and a diameter of 3 in,
how much ice cream can the cone hold?
V = 1/3(2 1/4) 6 pi in^3 = 14.137166941154069 in^3
V = 14.1 (the nearest tenth) in^3.
An ice-cream cone has a height of 6 in and a diameter of 3 in,
volume =
1/3 * pi r^2 h =
1/3 * pi(3/2)^2 * 6 =
9pi/2 in^3
Given
r = 3/2 = 1.5 in
V = 1/3πr^2h
V = 1/3π(1.5)^2(6)
V = 14.1 in^3 Answer//
The equation for the volume of a cone is:
V = πr²h / 3
You are given a diameter of 3, which is a radius of (3/2). Substitute that along with h = 6 and simplify:
V = π(3/2)²(6) / 3
V = π(9/4)(2)
V = (9/2)π in³
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Verified answer
If an ice-cream cone has a height of 6 in and a diameter of 3 in,
how much ice cream can the cone hold?
V = 1/3(2 1/4) 6 pi in^3 = 14.137166941154069 in^3
V = 14.1 (the nearest tenth) in^3.
An ice-cream cone has a height of 6 in and a diameter of 3 in,
how much ice cream can the cone hold?
V = 1/3(2 1/4) 6 pi in^3 = 14.137166941154069 in^3
V = 14.1 (the nearest tenth) in^3.
volume =
1/3 * pi r^2 h =
1/3 * pi(3/2)^2 * 6 =
9pi/2 in^3
Given
r = 3/2 = 1.5 in
V = 1/3πr^2h
V = 1/3π(1.5)^2(6)
V = 14.1 in^3 Answer//
The equation for the volume of a cone is:
V = πr²h / 3
You are given a diameter of 3, which is a radius of (3/2). Substitute that along with h = 6 and simplify:
V = π(3/2)²(6) / 3
V = π(9/4)(2)
V = (9/2)π in³