Mathematics, 28.08.2019 20:10 mckinley2006
Asphere and a cube have equal volumes. the length of one edge of the cube is 1.75 meters. what is the radius of the sphere?
Answers: 2
![side^{3} =\frac{4}{3} \pi\ r^{3} \\3*side^{3} = 4 \pi \ r^{3}\\\\\ \frac{3*side^{3}}{4 \pi } = r^{3} \\\\r^{3} = \frac{3*side^{3}}{4 \pi } \\\\\ \sqrt[3]{r^{3}} =\sqrt[3]{\frac{3*side^{3}}{4 \pi\ }} \\r=\sqrt[3]{\frac{3*side^{3}}{4\pi}}](/tpl/images/0206/5592/f77dc.png)
![r=\sqrt[3]{\frac{3*side^{3}}{4\pi}}\\r=\sqrt[3]{\frac{3*(1.75m)^{3}}{4\pi}}\\r=\sqrt[3]{\frac{16.07}{4\pi}}\\r=\sqrt[3]{1.27}\\ r=1.08\ m](/tpl/images/0206/5592/d08ff.png)
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Asphere and a cube have equal volumes. the length of one edge of the cube is 1.75 meters. what is th...
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