Question

A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What is the best approximation for the volume of the bird seed feeder? 320.44 cm³ 961.33 cm³ 2883.98 cm³ 3845.31 cm³

Answer 1

The equation for the volume of a cone is:

`V= (1)/(3) \pi r^(2) h`
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.

You are told that the height, h = 25.5 cm. You are also told that the diameter is 12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.

Since you know h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:

`V= (1)/(3) \pi r^(2) h\\ V= (1)/(3) \pi (6) ^(2) (25.5)\\ V \approx 961.33`

------

Answer: B) 961.33 cm³

Answer 2

Answer: Volume of the bird seed feeder = 961.33 cm³

Explanation:

Given shape of bird seed feeder of a cone

Diameter =12cm

So Radius =D/2 =12/2

=6cm

Height = 25.5cm

Volume of cone =
`(1)/(3 )* \pi r^(2)h`

Volume =
`(1)/(3)*\pi6^(2)*25.5`

Volume =
`(1)/(3)* (22)/(7)*36*25.5`

Volume =
`(20196)/(21)`

Volume = 961.33 cm³(approx)

So the volume of bird seed feeder is 961.33 cm³