Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer: 2.5 meters
This value is exact without any rounding.
======================================================
Explanation:
The first task is to convert the mixed number 20⅚ into an improper fraction
I'll write 20⅚ as 20 & 5/6
The rule to use is a & b/c = (a*c + b)/c
So,
a & b/c = (a*c + b)/c
20 & 5/6 = (20*6+5)/6
20 & 5/6 = 125/6
This means the volume is exactly (125/6)pi cubic meters.
Plug this into the sphere volume formula and isolate the radius r like so
V = (4/3)*pi*r^3
(125/6)pi = (4/3)*pi*r^3
125/6 = (4/3)*r^3
(4/3)*r^3 = 125/6
4r^3 = 3*(125/6)
4r^3 = 125/2
r^3 = (125/2)*(1/4)
r^3 = 125/8
r = (125/8)^(1/3)
r = 5/2
r = 2.5
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.