Question

find the volume of each cylinder. formula: v = bh or v = πr²h use 3.14 for π and round to the nearest hundredth. a. b. c. a. cm³ b. cm³ c. in³

Explanation:

Step1: Identify radius and height for cylinder a

Given $r = 2$ cm and $h=5$ cm.

Step2: Apply volume formula for cylinder a

$V=\pi r^{2}h=3.14\times2^{2}\times5=3.14\times4\times5 = 62.80$ $cm^{3}$

Step3: Identify radius and height for cylinder b

Radius $r=\frac{10}{2}=5$ cm and $h = 12$ cm.

Step4: Apply volume formula for cylinder b

$V=\pi r^{2}h=3.14\times5^{2}\times12=3.14\times25\times12=942.00$ $cm^{3}$

Step5: Identify radius and height for cylinder c

Given $r = 3$ in and $h = 9$ in.

Step6: Apply volume formula for cylinder c

$V=\pi r^{2}h=3.14\times3^{2}\times9=3.14\times9\times9 = 254.34$ $in^{3}$

Answer:

a. $62.80$ $cm^{3}$
b. $942.00$ $cm^{3}$
c. $254.34$ $in^{3}$