Estimate too large
estimate first
the estimate is too large.
bring down the next digit.
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius)
- Volume of a cylinder =
r²h
(where r is the radius and h is the height)
- radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3)
x 21³ = 6174
in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196
h = 6174
Divide both sides by
: 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in
Answer:
$478
Step-by-step explanation:
After 20 years, William will have a total of $3,513.94
After 20 years, Nolan will have a total of $3,991.93
Difference = $478
William:
2300[1 + (.02125 ÷ 4)]^4 · 20
2300 · (1 + .0053125)^80
2300(1.5278)
$3,513.94
Nolan:
2300[1 + (.0275 ÷ 12)]^12 · 20
2300 · (1 + .0023)^240
2300(1.7356)
$3,991.93