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

Step-by-step 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 :-

$\text{Volume}=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow\ 153.86=\dfrac{1}{3}(3.14)r^2(12)\\\\\Rightarrow\ r^2=\dfrac{153.86\times3}{(3.14)(12)}\\\\\Rightarrow\ r^2=12.25\\\\\Rightarrow\ r=\sqrt{12.25}=3.5$

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