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\frac{1}{3}\pi \times \left(\frac{1}{2}\right)^{2}d^{2}\times 6
Expand \left(\frac{1}{2}d\right)^{2}.
\frac{1}{3}\pi \times \frac{1}{4}d^{2}\times 6
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{1}{12}\pi d^{2}\times 6
Multiply \frac{1}{3} and \frac{1}{4} to get \frac{1}{12}.
\frac{1}{2}\pi d^{2}
Multiply \frac{1}{12} and 6 to get \frac{1}{2}.
\frac{1}{3}\pi \times \left(\frac{1}{2}\right)^{2}d^{2}\times 6
Expand \left(\frac{1}{2}d\right)^{2}.
\frac{1}{3}\pi \times \frac{1}{4}d^{2}\times 6
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{1}{12}\pi d^{2}\times 6
Multiply \frac{1}{3} and \frac{1}{4} to get \frac{1}{12}.
\frac{1}{2}\pi d^{2}
Multiply \frac{1}{12} and 6 to get \frac{1}{2}.