Answer:
the radius is 1.08 meters
Explanation:
Hello
the volume of a cube is given by

The volume of a sphere is given by:

Step 1
according to the problem

we need to know the radius, o we isolate r
![side^(3) =(4)/(3) \pi\ r^(3) \\3*side^(3) = 4 \pi \ r^(3)\\\\\ (3*side^(3))/(4 \pi ) = r^(3) \\\\r^(3) = (3*side^(3))/(4 \pi ) \\\\\ \sqrt[3]{r^(3)} =\sqrt[3]{(3*side^(3))/(4 \pi\ )} \\r=\sqrt[3]{(3*side^(3))/(4\pi)}](https://img.qammunity.org/2020/formulas/mathematics/college/aftks28yf7mh3axg59t4xa0w3vld5i7hnx.png)
Step 2
put the value of side = 1.75 into the equation
![r=\sqrt[3]{(3*side^(3))/(4\pi)}\\r=\sqrt[3]{(3*(1.75m)^(3))/(4\pi)}\\r=\sqrt[3]{(16.07)/(4\pi)}\\r=\sqrt[3]{1.27}\\ r=1.08\ m](https://img.qammunity.org/2020/formulas/mathematics/college/afiuruqnbymyxtoi7ioj1wu4251w30c1ap.png)
the radius is 1.08 meters
Have a nice day