W = 6
b = 4
You have a 3/5 chance every time to pull a white marble.
35 x 0.6 (6/10) = 21.
Your answer is D.)
We have to find the surface area of the cube:
Area of one face: 25 m2
Surface area of a cube(S): 6 times the area of a face
Replacing with the values given:
S= 6 x 25 m2 = 150 m2
Area= 1/2 b xh
Sooo= 1/2 x 12 x 7= 42
Answer: 42 inches squared
Answer:
a) V = (8 -4/3π)r³
b) 2048(2 -π/3) cm³ ≈ 1951.34 cm³
Step-by-step explanation:
When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.
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<h3>a. (formula)</h3>
The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...
V = s³ = (2r)³ = 8r³
The volume of the sphere is given by the formula ...
V = 4/3πr³
The volume of the empty space is the difference of these:
V = (8r³) -(4/3πr³)
V = (8 -4/3π)r³ . . . . . . . formula for the empty volume
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<h3>b. (empty space)</h3>
For r=8 cm, the empty volume is ...
V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)
V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume
To find 1/3 of 27 divide 27 by the denominator (which in this case would be 3) then multiply by the numerator (which is one) so you'd do 27 divided by 3 then multiply by 1