You are going to solve this in such a quick, slick way
that you will blink and not believe it. Fasten your seat belt.
Here are the tools you'll need:
-- Volume of a cylinder = (pi) (radius)² (height)
-- Volume of a sphere = (4/3) (pi) (radius)³
Now ... the question says that your cylinder and your sphere
have the same volume. Fine ! So you can immediately write
an equation saying that their volumes are equal.
(pi) (radius)² (height) = (4/3) (pi) (radius)³
Divide each side by pi: (radius)² (height) = (4/3) (radius)³
Divide each side by (radius)² (height) = (4/3) (radius)
Fill in the given height: (6 cm) = (4/3) (radius)
Multiply each side by 3/4 : (6 cm) x (3/4) = radius
I'm pretty sure that you can take over now and find the radius.
Answer:
4 in
Step-by-step explanation:
Answer:
sorry i need points :(
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Step-by-step explanation:
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Step-by-step explanation:
Given that Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. We are to calculate the probability that Rita will need to pick atleast 5 beads before she picks a grey bead from her collection.
Prob for drawing atleast 5 beads before she picks a grey bead from her collection
= 1-Prob for drawing atleast one grey beed in the first 5 draws.
(Because these two are complementary events)
no of grey beeds drawn in first 5 trials is
Bi=(5,1/6)
Prob for drawing atleast one grey beed in the first 5 draws.
=1-Prob of no grey
Hence required prob=P(X=0 in first 5 draws)
= 0.4018
6th beeds onwards can be grey also.
Nearest answer is c)0.45
setup a simple algebraic equation and solve.
5x = 7x-28
-5x -5x
0=2x-28
+28 +28
28=2x
Now divide both sides by 2 and you get that she is 14