Solve 25*10^-6*(4/3*pi*6^3)*345

$$25 \times { 10 }^{ -6 } \times ( \frac{ 4 }{ 3 } \times \pi \times { 6 }^{ 3 } ) \times 345$$

Evaluate

$$\frac{621\pi }{250}\approx 7.803716152$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$25\times \frac{1}{1000000}\times \frac{4}{3}\pi \times 6^{3}\times 345$$

Multiply 25 and \frac{1}{1000000} to get \frac{1}{40000}.

$$\frac{1}{40000}\times \frac{4}{3}\pi \times 6^{3}\times 345$$

Multiply \frac{1}{40000} and \frac{4}{3} to get \frac{1}{30000}.

$$\frac{1}{30000}\pi \times 6^{3}\times 345$$

Calculate 6 to the power of 3 and get 216.

$$\frac{1}{30000}\pi \times 216\times 345$$

Multiply \frac{1}{30000} and 216 to get \frac{9}{1250}.

$$\frac{9}{1250}\pi \times 345$$

Multiply \frac{9}{1250} and 345 to get \frac{621}{250}.

$$\frac{621}{250}\pi$$