A cone is 14cm deep and the base radius is 4.5cm. Calculate the volume of the water that will fill the cone
recall the formula:
v = 1/3 pi r^2 h
Now just plug in your numbers.
297cm^3
To calculate the volume of a cone, you can use the formula:
V = (1/3)πr^2h
where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height (or depth) of the cone.
In this case, the radius (r) is given as 4.5 cm and the depth (h) is given as 14 cm. Let's substitute these values into the formula to find the volume:
V = (1/3)π(4.5^2)(14)
First, square the radius:
V = (1/3)π(20.25)(14)
Next, multiply 20.25 by 14:
V = (1/3)π(283.5)
Now, multiply π by 283.5:
V ≈ (1/3)(3.14)(283.5)
Finally, calculate the volume:
V ≈ 941.54 cm^3
So, the volume of water that will fill the cone is approximately 941.54 cm^3.
To calculate the volume of the water that will fill the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the base radius, and h is the height of the cone.
In this case, the base radius (r) is given as 4.5cm and the height (h) is given as 14cm. Let's substitute these values into the formula:
V = (1/3) * π * (4.5cm)^2 * 14cm
First, let's square the base radius:
V = (1/3) * π * 20.25cm^2 * 14cm
Next, let's multiply the squared radius by 14cm:
V = (1/3) * π * 283.5cm^3
Finally, let's multiply by (1/3) and π:
V ≈ 298.681cm^3
Therefore, the volume of water that will fill the cone is approximately 298.681 cubic centimeters.