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
Answer:
D. 4,704 ft²
Step-by-step explanation:
Giving a scale of 1 in. = 14 ft, to find the actual area of the field represented by the triangular drawing above, convert the length of the base and height to the actual lengths of the field using the scale.
Height of drawing = 8 in.
Actual height = 8*14 = 112 ft
Base of drawing = 6 in.
Actual base = 6*14 = 84 ft
Area of the field = area of ∆
Area = ½*base*height
Area = ½*84*112
Area = 4,704 ft²
Answer:
2x + y = 5
y = 4x – 1
Substitute (2, 1) into system, then:
2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)
y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)
=> Option 3 is correct.
Hope this helps!
:)
Answer:
D 12
Step-by-step explanation:
The product of the lengths of the segments of one chord equal the product of the segments of the other.
x*4 = 6*8
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
Answer: 6 and 1/4
Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.
For our second fraction, we want to switch the numerator and the
denominator which means find the reciprocal of it.
The reciprocal of 2/5 is just the opposite of it when
you flip it and it's going to be 5/2.
Because we did the opposite there, we need to do the opposite
of division and the opposite of division is multiplication.
So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.
