A hemispherical bowl of radius 5 inches is filled to a depth of h inches, where 0less than or equalshless than or equals5. Find
the volume of water in the bowl as a function of h. (check the special cases hequals0 and hequals5.)
1 answer:
The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
You might be interested in
Answer:
width=3
length=9
Step-by-step explanation:
1/2 perimeter: 24/2=12
let x: width; y: lenght
y=2x+3
x=12-y
y=2(12-y)+3
y=24-2y+3
y+2y=27
y=9
x=12-9=3
Suzanne will C use 610 stickers and spend D. 13.70
Answer: multiply each side then multiply the answer by 2
Step-by-step explanation:
Answer:
20%
hope it helps you
Use the Pythagorean theorem:
x = √(12.7^2 - 6.2^2)
x = √(161.29 - 38.44)
x = √122.85
x = 11.08
Round to 11.1 m
