Question

Sondra has a conical bird feeder with a circular top. The volume of the bird feeder is 153.86 cubic inches. The height of the feeder is 12 inches. What is radius of the top? Use 3.14 for . Round the answer to the nearest tenth. 3.5 in. 7.0 in. 12.3 in. 49.0 in.

Answer 1

3.5 is the answer, and anything else.

Answer 2

Answer: 3.5 inches

Explanation:

Given: The volume of the conical bird feeder = 153.86 cubic inches

The height of the conical bird feeder = 12 inches

We know that the volume of a cone is given by :-

`\text{Volume}=(1)/(3)\pi r^2h\\\\\Rightarrow\ 153.86=(1)/(3)(3.14)r^2(12)\\\\\Rightarrow\ r^2=(153.86*3)/((3.14)(12))\\\\\Rightarrow\ r^2=12.25\\\\\Rightarrow\ r=√(12.25)=3.5`

Hence, the radius of the top of the cone= 3.5 inches.