The volume of the hemisphere is calculated through the equation,
V(hemisphere) = 2πr³/3
and that of the cylinder is
V(cylinder) = πr²h
Substituting the given dimensions in the figure shown,
2 x V(hemisphere) = 2 x (2)(π)(6 in)³ /3 = 288π in³
V(cylinder) = (π)(6 in)²(10 in) = 360π in³
Adding up the volumes of the three solids,
total volume = 288π in³ + 360π in³ = 648π in³
Thus, the answer is letter D.
Answer:
<em>tan 19° = 0.3443</em>
Step-by-step explanation:
<u>Value Of Trigonometric Functions</u>
The value of the tangent of 19° cannot be expressed in exact form, that it, as a function of radicals or known constants as pi.
We need to use a calculator, computer, or similar technology to find the required value. We use a scientific calculator to get:
tan 19° = 0.3443
To the nearest ten-thousandth
Y=2x²-x+4
1) we have to find the slope of this line.
we have to calculate the first derivative of this function.
y´=4x-1
The slope in x=3 will be: m(3)=4(3)-1=12-1=11.
2)We have to find a point of this line:
if x=3; ⇒y=2(3)²-3+4=18-3+4=19; Our point will be (3,19)
2) point-slope form: we need a point (x₀,y₀) and the slope.
y-y₀=m(x-x₀)
We know the slope (m=11) and the point (3,19); therefore:
y-19=11(x-3)
y=11x-33+19
y=11x-14
Answer: A. y=11x-14
Answer:
that is the solution to the question
Answer:
4 1/14
Step-by-step explanation:
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