Answer:
Diameter of sphere = 18 cm
Step-by-step explanation:
<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>
Diameter = 18 cm
r = 18÷ 2 = 9 cm
h = 12 cm
= π * 9 * 9 * 12 cm³
<h3>Sphere:</h3>
Solid cylinder is melted and turned into a solid sphere.
Volume of sphere = volume of cylinder
![\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}](https://tex.z-dn.net/?f=%5Csf%20r%5E%7B3%7D%3D%20%5Cdfrac%7B%5Cpi%20%2A9%2A9%2A12%2A3%7D%7B4%2A%5Cpi%20%7D%5C%5C%5C%5C%20%20r%5E%7B3%7D%3D9%20%2A%209%20%2A3%20%2A3%5C%5C%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B9%2A9%2A9%7D%5C%5C%5C%5C%20r%20%3D%209%20%5C%20cm%5C%5C%5C%5Cdiameter%20%3D%209%2A2%5C%5C%5C%5C%5Cboxed%7Bdiameter%20%5C%20of%20%5C%20%20sphere%20%3D%2018%20%5C%20cm%7D)
B is the answer because it does not give information for the third side. We cannot assume it is equal because it is not a right triangle.
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Find total number of integers
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Number of integers from 1 to 100 = 100
There are 100 numbers altogether
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Find total numbers that can be divided by 2
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Number that are multiples of 2 = 100 ÷ 2 = 50
50 of the number are multiples of 2
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Find total numbers that are multiples of 3
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Numbers that are multiples of 3 = 100 ÷ 3 = 33 R 1
33 of the numbers are multiples of 3
Of the 33 numbers that are multiples of 3, half of the numbers are even and had been included in multiples of 2.
33 ÷ 2 = 16 R 1
33 - 16 = 17
17 of the numbers are multiples of 3
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Total numbers that can be multiples of 2 or 3
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50 + 17 = 67
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Total number that are neither multiples of 2 nor 3
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100 - 67 = 33
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Ans: 33 integers are neither multiples of 2 nor multiples 3
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Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:
Where 'x' is the number of weeks. Now let's solve it for 'x'.
Subtract 950 to both sides:
Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:
So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.
