Four glass balls, each with a 2.5 inch radius, are placed in a box. If the remaining space is to be filled with cotton for padding, how much cotton is needed? Use 3.14 for pi

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Four glass balls, each with a 2.5 inch radius, are placed in a box. If the remaining space is to be filled with cotton for padding, how much cotton is needed? Use 3.14 for  pi

Bytelearn · Accepted Answer

Calculate Volume of Sphere: First, we need to calculate the volume of one glass ball. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.Substitute Radius in Formula: Since the radius of each glass ball is 2.5 inches, we substitute r with 2.5 inches in the volume formula. V = (4/3)π(2.5)^3Calculate Volume of One Ball: Now we calculate the volume of one glass ball. V = (4/3) * 3.14 * (2.5)^3 V = (4/3) * 3.14 * 15.625 V = 4.18666667 * 3.14 * 15.625 V ≈ 206.15 cubic inchesCalculate Total Volume of Four Balls: Next, we calculate the total volume of the four glass balls by multiplying the volume of one ball by four. Total volume of glass balls = 4 * 206.15 cubic inchesFind Remaining Space for Cotton: Perform the multiplication to find the total volume of the four glass balls. Total volume of glass balls = 824.6 cubic inchesAssuming we know the volume of the box, we would subtract the total volume of the glass balls from the volume of the box to find the volume of the remaining space to be filled with cotton. However, the volume of the box is not given in the problem, so we cannot calculate the exact amount of cotton needed without this information.

Four glass balls, each with a $2$ . $5$ inch radius, are placed in a box. If the remaining space is to be filled with cotton for padding, how much cotton is needed? Use $3$ . $14$ for $\pi$

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Four glass balls, each with a $2$ . $5$ inch radius, are placed in a box. If the remaining space is to be filled with cotton for padding, how much cotton is needed? Use $3$ . $14$ for $\pi$