Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if is filled completely to the top of th cone and no more.the cone has a height of 10 cm and a radius of 5 cm
Hello
AAAaannndd the bot gets it wrong yet again!
Even with the right numbers, it botches the result.
And it can't even use proper notation!!
(1/3)π(5 cm)^2(10 cm) = 250π/3 cm^3 * (1in/2.54cm)^3 = 15.976 in^3
To find the volume of the sugar 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 is a constant approximately equal to 3.14159, r is the radius, and h is the height.
Given that the height of the cone is 10 cm and the radius is 5 cm, we can substitute these values into the formula to find the volume:
V = (1/3) * π * (5 cm)^2 * 10 cm
First, let's square the radius:
V = (1/3) * π * 25 cm^2 * 10 cm
Next, multiply the squared radius by the height:
V = (1/3) * π * 250 cm^3
Finally, multiply this value by the constant π and divide by 3 to get the volume:
V ≈ (3.14159) * (250 cm^3) / 3
V ≈ 261.7994 cm^3
Therefore, the sugar cone will hold approximately 261.7994 cubic inches of ice cream when filled completely to the top.
The volume of the cone is (1/3)πr2h, where r is the radius and h is the height.
Therefore, the volume of the cone is (1/3)π(5 cm)2(10 cm) = (1/3)π(25 cm2)(10 cm) = 250π cm3.
Since 1 cubic inch is equal to 16.387 cm3, the cone will hold 250π/16.387 = 15.2 cubic inches of ice cream.