+371 what is the formula for the volume of a sphere with diameter d?
+26367 what is the formula for the volume of a sphere with diameter d?
r = Radius
d = diameter
\(\begin{array}{rcll} V &=& \dfrac43 \cdot \pi \cdot r^3 \quad & | \quad r = \dfrac{d}{2}\\\\ V &=& \dfrac43 \cdot \pi \cdot \left(\dfrac{d}{2} \right)^3 \\\\ V &=& \dfrac43 \cdot \pi \cdot \dfrac{d^3}{2^3} \\\\ V &=& \dfrac43 \cdot \pi \cdot \dfrac{d^3}{8} \\\\ V &=& \dfrac13 \cdot \pi \cdot \dfrac{d^3}{2} \\\\ V &=& \dfrac16 \cdot \pi \cdot d^3 \\\\ && \boxed{~ \begin{array}{rcll} V &=& \dfrac{\pi}{6} \cdot d^3 \end{array} ~} \end{array}\)
+26367 what is the formula for the volume of a sphere with diameter d?
r = Radius
d = diameter
\(\begin{array}{rcll} V &=& \dfrac43 \cdot \pi \cdot r^3 \quad & | \quad r = \dfrac{d}{2}\\\\ V &=& \dfrac43 \cdot \pi \cdot \left(\dfrac{d}{2} \right)^3 \\\\ V &=& \dfrac43 \cdot \pi \cdot \dfrac{d^3}{2^3} \\\\ V &=& \dfrac43 \cdot \pi \cdot \dfrac{d^3}{8} \\\\ V &=& \dfrac13 \cdot \pi \cdot \dfrac{d^3}{2} \\\\ V &=& \dfrac16 \cdot \pi \cdot d^3 \\\\ && \boxed{~ \begin{array}{rcll} V &=& \dfrac{\pi}{6} \cdot d^3 \end{array} ~} \end{array}\)
