Question

a spice jar is 3 inches tall and 1.5 inches in diameter. a funnel is 2 inches tall and 2.5 inches in diameter. of hayden fills the funnel with paper to put into the space jar, will it overflow?

Answer 1

The spice jar will overflow when the funnel is filled with paper and placed inside.

Step-by-step explanation:

To determine if the funnel will overflow when filled with paper and placed into the spice jar, we need to compare the volumes of the two objects.

The volume of a cylinder (such as the spice jar) is calculated using the formula V = πr^2h, where r is the radius and h is the height.

Spice Jar:

• Height = 3 inches
• Radius = 1.5 inches / 2 = 0.75 inches
• Volume = π(0.75)^2(3) ≈ 6.75 cubic inches

Funnel:

• Height = 2 inches
• Radius = 2.5 inches / 2 = 1.25 inches
• Volume = π(1.25)^2(2) ≈ 7.85 cubic inches

Since the volume of the funnel (7.85 cubic inches) is larger than the volume of the spice jar (6.75 cubic inches), when Hayden fills the funnel with paper and places it into the spice jar, it will overflow.