To find the radius of new sphere dough.
Answer to Problem 18PT
5 centimeters (approximately)
Explanation of Solution
Given:
Two spherical cookie dough:
Radius (
Radius
Formula used:
Volume of a sphere
where r is the radius of the sphere.
Calculation:
Volume of sphere 1:
Let volume of sphere 1 be
Putting the value of
So, volume of sphere 1 is 37 cubic centimeters.
Volume of sphere 2:
Let volume of sphere 1 be
Putting the value of
So, volume of sphere 2 is 523 cubic centimeters.
Let volume of the bigger new sphere be
Volume of big sphere
Now,
Let
Putting the value of
Taking cube root on both sides,
Conclusion:
Therefore, the radius of the big sphere is 5 centimeters (approximately).
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