I'm not sure if I will be correct but, I hope this helps.
A. 10^2
B. 10^6
c. 10^9
D. 10^15
*^ means the exponent *
Answer:
Step-by-step explanation:
From the picture we find that the sphere and the cylinder has equal heights.
i.e. cylinder has height = 2r.
x,y and r form a right triangle with hypotenuse as r.
Hence pythagorean theorem is satisfied
Area of the cross section parallel to it is area of circle with radius y
= ![\pi y^2\\=\pi (r^2-x^2)\\=\pir^2-\pix^2](https://tex.z-dn.net/?f=%5Cpi%20y%5E2%5C%5C%3D%5Cpi%20%28r%5E2-x%5E2%29%5C%5C%3D%5Cpir%5E2-%5Cpix%5E2)
Volume of cylinder when 2 cones removed = ![\frac{4\pir^3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpir%5E3%7D%7B3%7D)
Hence volume of sphere = ![\frac{4\pir^3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpir%5E3%7D%7B3%7D)
Answer: A
Step-by-step explanation:
The answer is A. It accurately describes the equation shown. Negative values are represented by negative tiles and positive values are represented by positive tiles.
<em>Hope it helps <3</em>
Answer: 21
140% converts to the decimal form 1.40 or 1.4
You move the decimal point 2 spots to the left to convert from percent to decimal form. You can think of it as 140% = 140/100 = 1.40 since "percent" means "per 100" (think "cent" as in "100 cents in a dollar")
Now multiply 1.4 by 15 to get 1.4*15 = 21
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Side notes
1) "of" means "multiply" in percent word problems like this
2) The result 21 is larger than the original 15 because 140% is larger than 100%
3) You can optionally find the answer by solving for x in this equation shown here: x/15 = 140/100 which is of the format "part/whole = percent/100". Note how the right side 140/100 is just 1.4 in disguise, and if we multiplied both sides by 15, we end up with the same answer.