Answer:
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:
V (volume) = ?
Solving:(Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
Step-by-step explanation:
Answer:
214°
Step-by-step explanation:
Full circle measure = 360°
Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)
Therefore:
Measure of arc ACB = 360° - arc AB
Measure of arc ACB = 360° - 146°
= 214°
Given:
In the given circle, ∠ADB = 270° and length of ADB = 61.26 m
To find the radius of the circle.
Formula
The formula to determine the radius is given by
Substituting arc length = 61.26, 
, we get;
Thus, the radius is 13 m
Answer:
A. The increase in the number of pounds a boy gains each year.
Step-by-step explanation:
A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines the line of best fit is
y = 1.73x + 80.13 ............ (1)
where x represents the age of the boys and y represents the weight of the boy corresponding to his age.
Therefore, the slope of the equation (1) represents the increase in the number of pounds a boy gains each year. (Answer)
