A solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?

Answers

Answer 1

Answer: $V_1=(4)/(3)\pi R^3\n\nR=32cm\n\nV_1=(4)/(3)\pi\cdot32^3=(131072)/(3)\pi\ (cm^3)\n\nV_2=V_1:64\n\nV_2=(131072)/(64)\pi:64=(131072)/(3)\pi\cdot(1)/(64)=(2048)/(3)\pi\ (cm^3)\n\nr=?\n\nV_2=(4)/(3)\pi r^3$

$(4)/(3)\pi r^3=(2048)/(3)\pi\ \ \ /:\pi\n\n(4)/(3)r^3=(2048)/(3)\ \ \ /\cdot(3)/(4)\n\nr^3=512\n\nr=\sqrt[3]{512}\n\nr=8\ (cm)\leftarrow answer$

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Increase £60 by 10%?

Answers

10% of 60 is 6. So, 60 + 6 (10%) = 66

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between the March 15 and the March 20? A. $125.87
B. $11.22
C. $162.37
D. $48.87

Answers

The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50$87.37 - $38.50 = $48.87Carlos deposited $48.87.

Answer:The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50 $87.37 - $38.50 = $48.87 Carlos deposited $48.87.

Step-by-step explanation:

Which quantity is best expressed as +5?A. a purchase of $5
B. a profit of $5
C. a loss of $5
D. an overdraft of $5

Answers

the answer is B. a profit of $5

I need help on 12,13,14 thank you

Answers

12) 2+3+4+5+6 = 20h.. she is paid 8.75 per hour. earnings would be 20h times 8.75 per hour (answer 5)
13) volume = area (base) times height = 2 * 3.5 * 5 there is no addition at all (answer 1)
14) 37 + 67 + unknown angle = 180... so unknown is 180-37-67 = 76 degrees (answer 3)

what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The tennis court is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

= 15² + 20²

= 225 + 400

= 625

Diagonal = √625 = 25 feet

Therefore the diagonal of a non-regulation tennis court = 25 feet

What is 14/20 as a percent

Answers

Remember 'bout :

Percent is /100

So :

14 ×5 70

-------- = ----- -

20×5 100

70 %

Im sorry if im wrong

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Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?