Question

mia has two cylindrical bird feeders. her red bird feeder has a diameter of 10 inches and is 8.3 inches tall. what is the volume of the red bird feeder?
round your answer to the nearest whole number.
cubic inches
mias blue bird feeder has a diameter of 12 inches and is 7.5 inches tall. what is the volume of the blue bird feeder?
round your answer to the nearest whole number.
cubic inches
what is the total volume of mias bird feeders?
round your answer to the nearest whole number.
cubic inches

Explanation:

Step1: Calculate radius of red feeder

Radius \(r=\frac{d}{2}\), for red feeder \(d = 10\) inches, so \(r=\frac{10}{2}=5\) inches.
Volume of cylinder \(V=\pi r^{2}h\), \(h = 8.3\) inches.
\(V_{red}=\pi\times(5)^{2}\times8.3=\pi\times25\times8.3 = 207.5\pi\approx207.5\times3.14 = 651.55\approx652\)

Step2: Calculate radius of blue feeder

For blue feeder \(d = 12\) inches, \(r=\frac{12}{2} = 6\) inches, \(h = 7.5\) inches.
\(V_{blue}=\pi\times(6)^{2}\times7.5=\pi\times36\times7.5=270\pi\approx270\times3.14 = 847.8\approx848\)

Step3: Calculate total volume

\(V_{total}=V_{red}+V_{blue}\)
\(V_{total}=652 + 848=1500\)

Answer:

652 cubic inches
848 cubic inches
1500 cubic inches