Mathematics, 03.07.2019 12:30, thil54451

The figure is made up of two cones and a cylinder. both cones and the cylinder have a 10 mm diameter. what is the exact volume of this figure? what is the volume of this figure? 250π mm³ 400π mm³ 625π mm³ 2500π mm³

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answered: Requiem3327

$625\pi\ mm^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of two cones plus the volume of the cylinder

Find the volume of one cone

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=10/2=5\ mm$ -----> the radius is half the diameter

$h=15\ mm$

substitute the values

$V=\frac{1}{3}\pi (5^{2})(15)=125\pi\ mm^{3}$

Find the volume of the cylinder

$V=\pi r^{2} h$

we have

$r=10/2=5\ mm$ -----> the radius is half the diameter

$h=15\ mm$

substitute the values

$V=\pi (5^{2})(15)=375\pi\ mm^{3}$

Find the volume of the figure

$2*125\pi\ mm^{3}+375\pi\ mm^{3}=625\pi\ mm^{3}$

answered: kutie543

625π mm³

Step-by-step explanation:

Volume of cone = $\dfrac{1}{3}\pi r^2h$ , where r is radius and h is height of cone.

Volume of cylinder = $\pi R^2H$ , where R is radius and H is height of cone.

For given picture,

Diameter of cone and cylinder = 10 mm , then radius = 5 mm (half of diameter)

h= 15 mm , r= 5mm

R= 5mm , H=15mm

Combined volume of figure = 2 x (Volume of cone)+ Volume of cylinder

$=2\times(\dfrac{1}{3}\pi (5)^2(15))+\pi (5)^2(15)\\\\=250\pi+375\pi\\\\=625\pi\ mm^3$

Hence, the volume of this figure is 625π mm³

answered: Guest

b. the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answered: Guest

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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The figure is made up of two cones and a cylinder. both cones and the cylinder have a 10 mm diameter...