A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?
1 answer:
Answer:
523.33 in^3
Step-by-step explanation:
A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball
Volume of a sphere = π
Where
π = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
Radius = 10 in / 2 = 5 inches
× 3.14 ×
= 523.33
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Answer:
a) $1520
b) $209195
Step-by-step explanation:
The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:
a) The raise the person can get each year is the common difference of the progression, d.
The nth term of an arithmetic progression is given generally as:
where a = first term = 25325
d = common difference
Therefore, the 7th term (34445) will be:
34445 = 25325 + (7 - 1)d
34445 = 25325 + 6d
=> 6d = 34445 - 25325 = 9120
d = 9120 / 6 = $1520
Therefore, the raise the person gets each year (common difference) is $1520.
b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.
The sum of an arithmetic progression up to the nth term is given as:
Therefore, the sum of the person's salary for the 7 years is:
$209195
That is the total amount of salary after 7 years
y = 2 - x
y(-3) = 2 - (-3) = 2 + 3 = 5
y(0) = 2 - 0 = 2
y(5) = 2 - 5 = -3
