Question

Michael makes his own spice mixes. He uses a funnel to fill his jars of spices. Michael's funnel is shaped like a cone with a height of 2.5 inches and a radius of 2.8 inches. What is the volume of Michael's funnel?

Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
Michael's spice jar is shaped like a cylinder with a height of 4 inches and a radius of 0.75 inches. What is the volume of his spice jar?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
Complete the sentence below to describe the relationship between the volumes of the funnel and spice jar. Use a whole number.
The volume of the funnel is
times the volume of the spice jar.

Answer 1

The volume of Michael's funnel is 24.6 cubic inches and the volume of his spice jar is 7.065 cubic inches. The volume of the funnel is approximately 3.48 times the volume of the spice jar.

Step-by-step explanation:

To find the volume of Michael's funnel, we can use the formula for the volume of a cone: V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we get V = (1/3)(3.14)(2.8²)(2.5) = 24.6 cubic inches.

To find the volume of Michael's spice jar, we can use the formula for the volume of a cylinder: V = πr²h. Plugging in the values, we get V = (3.14)(0.75²)(4) = 7.065 cubic inches.

The volume of the funnel is approximately 3.48 times the volume of the spice jar.