The value of the expression Z² + Q² is 4321
<h3>How to evaluate the expression?</h3>
The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
Read more about volumes at:
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Step-by-step explanation:
step 1. c = 14(pi) m = 43.96m
step 2. c = 2(pi)(3) = 6(pi) m = 18.84in
Answer:
Well the points (0,0) go throught the orgin which tells you that the line js proportional the the other points have a certain about of distance between then to make the line linear.
Step-by-step explanation:
Answer:
Question 1 ) Difference of Volume = 112.25 cm³
Question 2) Volume = 6400π feet³
Step-by-step explanation:
<h3>As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339.12 cm3, how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth.</h3>
Diameter = 6 cm
Radius = 3 cm
Height = 12 cm
If we increase the dimension by 1.10, new dimesnions are:
Radius = 3 · 1.1 = 3.3 cm
Height = 12 · 1.1 = 13.2 cm
Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)(3.3²)(13.2)
Volume = 451.37 cm³
Difference of Volume = 451.37 cm³ - 339.12 cm³
Difference of Volume = 112.25 cm³
<h3>
The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? </h3>
Circumference = 2πr = 16π = 2π(8) feet
Radius = 8 feet
Volume = Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)((8²)(100)
Volume = 6400π feet³
Just do what you would do if you multiply double digit numbers expect with an extra digit. then count how many numbers are behind the decimal and when your down put the decimal point as much to the left from how many numbers are originally behind the decimal.
