A cone-shaped container has a height of 9 in. and diameter of 2 in. It is filled with a liquid that is worth $2 per cubic inch.
What is the total value of the liquid in the container?
Use 3.14 for π .
Enter your answer in the box.
I think it's 18.84 can someone check my work?
The volume of something pointy with straight sides is the base area times the height divided by three.
V = (1/3) pi r^2 h
= (1/3)(3.14) (1)^2 (9)
= 9.42 in^3
to get the value multiply by 2
= $ 18.84 so I agree
A cylinder has a radius of 12.2 inches and a height of 6.1 inches.
What is the volume of the cylinder to the nearest tenth in³?
Use 3.14 to approximate pi.
74.4 in³
148.8 in³
2850.9 in³
4961.2 in³
To find the total value of the liquid in the container, we need to calculate the volume of the cone and then multiply it by the value per cubic inch.
First, let's find the radius of the cone. Since the diameter is given as 2 inches, the radius is half of that, which is 1 inch.
The formula for the volume of a cone is V = (1/3)πr²h, where V is the volume, π is a constant (approximated as 3.14), r is the radius, and h is the height.
Plugging in the values, we have:
V = (1/3) * 3.14 * 1² * 9
V = (1/3) * 3.14 * 1 * 1 * 9
V = 3.14 * 3
V = 9.42
So, the volume of the liquid in the cone is 9.42 cubic inches. Since the liquid is worth $2 per cubic inch, the total value of the liquid in the container is:
$2 * 9.42 = $18.84
Therefore, your answer of $18.84 is correct!
To find the total value of the liquid in the container, we need to calculate the volume of the cone and then multiply it by the value per cubic inch.
First, we need to find the radius of the cone. The diameter is given as 2 inches, so the radius is half of that, which is 1 inch.
Next, we can use the formula for the volume of a cone: V = (1/3) * π * r^2 * h, where V is the volume, π is a constant (approximated as 3.14), r is the radius, and h is the height.
Plugging in the values, we get:
V = (1/3) * 3.14 * 1^2 * 9
V = (1/3) * 3.14 * 1 * 9
V = (1/3) * 3.14 * 9
V = 3.14 * 9
V = 28.26 cubic inches
Now, to find the total value of the liquid, we multiply the volume by the value per cubic inch:
Total value = 28.26 * $2
Total value = $56.52
So the correct answer is $56.52, not 18.84.