A cone shaped paper cup has a. Hight of 7 inches and a diameter of 5 inches what is its volume
V = (pi * r^2 * h)/3
V= 3.14 x 2.5^2
V= 3.14 x 6.25
v= 19.625 / 3
V= 6.514 ins.^3
To find the volume of a cone, you can use the formula: V = (1/3) * π * r^2 * h, where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
First, you need to find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 5 inches / 2 = 2.5 inches.
Next, plug the values into the volume formula:
V = (1/3) * π * 2.5^2 * 7
Calculate the radius squared:
V = (1/3) * π * 6.25 * 7
Multiply the radius squared by 7:
V = (1/3) * π * 43.75
Next, multiply the result by π and divide it by 3:
V = 14.57 * 3.14159 / 3
Finally, calculate the value of V:
V ≈ 15.378 cubic inches.
Therefore, the volume of the cone-shaped paper cup is approximately 15.378 cubic inches.