Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
8 miles per hour.
Step-by-step explanation:
24miles in 4 hours = 24/4=6 miles per hour.
24 miles in 3 hours = 24/3=8 miles per hour. The boat going with the current of the river is traveling at 8 miles per hour.
In the metric system, each of the common kinds of measure -- length, weight, capacity -- has one basic unit of measure. To measure smaller amounts, divide the basic unit into parts of ten, a hundred, or a thousand, and so on. To measure larger amounts, multiply the basic unit by ten, a hundred, or a thousand, and so on.
Length:
1 kilometer (km) = 1000 meters (m)
1 centimeter (cm) = .01 meter (m)
1 millimeter (mm) = .001 meter (m)
Weight:
1 kilogram (kg) = 1000 grams (g)
1 milligram (mg) = .001 gram (g)
Capacity:
1 milliliter = .001 liter (l)
