Question

Please help

Answer 1

Answer:took the test it's both answers 283 and the 90 got it wrong for only selected that 283 and the answers was both needed.

Step-by-step explanation:

Answer 2

The capsule describe consists of 2 hemispheres (same) and 1 cylinder. We need to sum up the volume of the cylinder and the 2 same hemispheres.

• Volume of Cylinder:

We are given the radius of the cylinder as 3 and the height as 6. The formula for volume of cylinder is $V=\pi r^{2} h$. Plugging in 3 for r and 6 for h gives us,

$V=\pi (3)^{2} (6)=54\pi$.

• Volume of Hemisphere(s):

We are given the radius is 3 for the hemisphere. The formula for volume of a hemisphere is half of the volume of a sphere. The formula for hemisphere is shown below.

$V=\frac{\frac{4}{3}\pi r^{3}} {2}$. Plugging in 3 for r gives us,

$V=\frac{\frac{4}{3}\pi (3)^{3}} {2}$

$V=\frac{\frac{4}{3}\pi*27}{2} \\=\frac{36\pi}{2}\\=18\pi$

Now, since we have 2 same hemispheres, we multiply this answer by 2 to get total volume of the 2 hemispheres.

$18\pi * 2= 36\pi$.

• Total volume of the capsule:

$54\pi + 36\pi = 90\pi$

In decimal, taking 3.14 as $\pi$, it is $90*3.14=282.6$

Rounding to the nearest whole number gives us 283 millimeters squared.

ANSWER: Volume = $90\pi mm^{3}$ and $283 mm^{3}$