Question

a) find the volume of each cylinder. (use $pi = 3.14$)1)volume = _____2)volume = ___3)volume = ___b) find the volume of each cylinder from the given parameters. (use $pi = 3.14$)4) height = 9 ft ; radius = 3 ftvolume = ___5) radius = 13 yd ; height = 8 ydvolume = ___6) radius = 16 in ; height = 27 involume = ___7) height = 15 ft ; radius = 10 ftvolume = _____8) a cylindrical flower vase is 11-inch tall. find the volume of the vase if the radius is 4 inches. (use $pi = 3.14$)

Explanation:

The formula for the volume of a cylinder is $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height, using $\pi=3.14$.

1) Cylinder with $r=6$ in, $h=7$ in

Step1: Calculate $r^2$

$6^2 = 36$

Step2: Compute $\pi r^2$

$3.14 \times 36 = 113.04$

Step3: Multiply by height

$113.04 \times 7 = 791.28$

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2) Cylinder with $r=24$ ft, $h=30$ ft

Step1: Calculate $r^2$

$24^2 = 576$

Step2: Compute $\pi r^2$

$3.14 \times 576 = 1808.64$

Step3: Multiply by height

$1808.64 \times 30 = 54259.2$

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3) Cylinder with $r=19$ yd, $h=21$ yd

Step1: Calculate $r^2$

$19^2 = 361$

Step2: Compute $\pi r^2$

$3.14 \times 361 = 1133.54$

Step3: Multiply by height

$1133.54 \times 21 = 23804.34$

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4) Cylinder with $r=3$ ft, $h=9$ ft

Step1: Calculate $r^2$

$3^2 = 9$

Step2: Compute $\pi r^2$

$3.14 \times 9 = 28.26$

Step3: Multiply by height

$28.26 \times 9 = 254.34$

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5) Cylinder with $r=13$ yd, $h=8$ yd

Step1: Calculate $r^2$

$13^2 = 169$

Step2: Compute $\pi r^2$

$3.14 \times 169 = 530.66$

Step3: Multiply by height

$530.66 \times 8 = 4245.28$

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6) Cylinder with $r=16$ in, $h=27$ in

Step1: Calculate $r^2$

$16^2 = 256$

Step2: Compute $\pi r^2$

$3.14 \times 256 = 803.84$

Step3: Multiply by height

$803.84 \times 27 = 21703.68$

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7) Cylinder with $r=10$ ft, $h=15$ ft

Step1: Calculate $r^2$

$10^2 = 100$

Step2: Compute $\pi r^2$

$3.14 \times 100 = 314$

Step3: Multiply by height

$314 \times 15 = 4710$

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8) Cylinder with $r=4$ in, $h=11$ in

Step1: Calculate $r^2$

$4^2 = 16$

Step2: Compute $\pi r^2$

$3.14 \times 16 = 50.24$

Step3: Multiply by height

$50.24 \times 11 = 552.64$

Answer:

1. $791.28$ cubic inches
2. $54259.2$ cubic feet
3. $23804.34$ cubic yards
4. $254.34$ cubic feet
5. $4245.28$ cubic yards
6. $21703.68$ cubic inches
7. $4710$ cubic feet
8. $552.64$ cubic inches