Question

Jade used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Answer 1

Answer:

The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)

Step-by-step explanation:

Given

Cylinder

Radius = 3 inches

Height = 7 inches

Sphere

Radius = 3 inches

Required

The difference in the amount of wax needed to make a candle from each of these molds

The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds

The volume of a cylinder is calculated using

V₁ = πr²h

where r and h are the radius and the height of the cylinder, respectively.

r = 3 in and h = 7 in

The volume of a sphere is calculated using

$V_{2} = \frac{4}{3}\pi r^3$

where r is the radius of the sphere

r = 3 in

Calculating V₁

V₁ = πr²h

V₁ = π * 3² * 7

V₁ = π * 9 * 7

V₁ = π * 63

V₁ = 63π

Calculating V₂

$V_{2} = \frac{4}{3}\pi r^3$

$V_{2} = \frac{4}{3} * \pi * 3^3$

$V_{2} = \frac{4}{3} * \pi * 27$

$V_{2} = \frac{108}{3} * \pi$

V₂ = 36π

Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.

Difference = V₁ - V₂

Substituting 63π for V₁ and 36π for V₂

Difference = 63π - 36π

Difference = 27π

(Taking π = 3.14)

Difference = 27 * 3.14

Difference = 84.78

Hence, difference in the amount of wax needed is 84.78 in³

Answer 2

Answer:

C)84.78

Step-by-step explanation: