Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

keep going! calculate the volume of each cylinder. use 3.14 for π. reme…

Question

keep going! calculate the volume of each cylinder. use 3.14 for π. remember that the diameter of a circle is twice its radius.
16 mm
4 mm
24 ft.
14 ft.
v≈
v≈

Explanation:

For the first cylinder (in mm):

Step1: Find the radius

The diameter is 16 mm, so the radius \( r=\frac{16}{2} = 8\) mm.

Step2: Use the cylinder volume formula \( V=\pi r^{2}h \)

Here, \( \pi = 3.14 \), \( r = 8 \) mm, \( h = 4 \) mm.
\( V=3.14\times8^{2}\times4 \)
\( = 3.14\times64\times4 \)
\( = 200.96\times4 \)
\( = 803.84 \) cubic millimeters.

For the second cylinder (in ft):

Step1: Find the radius

The diameter is 24 ft, so the radius \( r=\frac{24}{2}=12 \) ft.

Step2: Use the cylinder volume formula \( V = \pi r^{2}h \)

Here, \( \pi=3.14 \), \( r = 12 \) ft, \( h = 14 \) ft.
\( V=3.14\times12^{2}\times14 \)
\( = 3.14\times144\times14 \)
\( = 452.16\times14 \)
\( = 6330.24 \) cubic feet.

Answer:

For the first cylinder: \( V\approx\boldsymbol{803.84} \) cubic millimeters.
For the second cylinder: \( V\approx\boldsymbol{6330.24} \) cubic feet.