A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
cylinder portion of the capsule is 8 millimeters long and has a diameter of 6 millimeters.
What is the volume of the figure? Use 3.14 for
Round to the nearest hundredth.
Recall the formulas V-Bh and
226 08 cubic millimeters
310.86 cubic millimeters
339.12 cubic millimeters
1808 64 cubic millimeters

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

where

B is the area of the base of cylinder

h is the height of cylinder

we have

we have

----> the radius is half the diameter

substitute

step 2

Find the volume of the sphere

The volume is given by

we have

----> the radius is half the diameter

substitute

step 3

Adds the volumes

answer: ok

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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