Solve 1/4pi*(12*10^{-3})^2sqrt{(2.5-0.6)*0^5*20/10^4}*10^3*60

$$\frac { 1 } { 4 } \pi \times ( 12 \times 10 ^ { - 3 } ) ^ { 2 } \sqrt { \frac { ( 2.5 - 0.6 ) \times 0 ^ { 5 } \times 20 } { 10 ^ { 4 } } } \times 10 ^ { 3 } \times 60$$

Evaluate

$$0$$

Solution Steps

Multiply 60 and \frac{1}{4} to get 15.

$$15\pi \times \left(12\times 10^{-3}\right)^{2}\sqrt{\frac{\left(2.5-0.6\right)\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$15\pi \times \left(12\times \frac{1}{1000}\right)^{2}\sqrt{\frac{\left(2.5-0.6\right)\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Multiply 12 and \frac{1}{1000} to get \frac{3}{250}.

$$15\pi \times \left(\frac{3}{250}\right)^{2}\sqrt{\frac{\left(2.5-0.6\right)\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Calculate \frac{3}{250} to the power of 2 and get \frac{9}{62500}.

$$15\pi \times \frac{9}{62500}\sqrt{\frac{\left(2.5-0.6\right)\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Multiply 15 and \frac{9}{62500} to get \frac{27}{12500}.

$$\frac{27}{12500}\pi \sqrt{\frac{\left(2.5-0.6\right)\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Subtract 0.6 from 2.5 to get 1.9.

$$\frac{27}{12500}\pi \sqrt{\frac{1.9\times 0^{5}\times 20}{10^{4}}}\times 10^{3}$$

Calculate 0 to the power of 5 and get 0.

$$\frac{27}{12500}\pi \sqrt{\frac{1.9\times 0\times 20}{10^{4}}}\times 10^{3}$$

Multiply 1.9 and 0 to get 0.

$$\frac{27}{12500}\pi \sqrt{\frac{0\times 20}{10^{4}}}\times 10^{3}$$

Multiply 0 and 20 to get 0.

$$\frac{27}{12500}\pi \sqrt{\frac{0}{10^{4}}}\times 10^{3}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{27}{12500}\pi \sqrt{\frac{0}{10000}}\times 10^{3}$$

Zero divided by any non-zero number gives zero.

$$\frac{27}{12500}\pi \sqrt{0}\times 10^{3}$$

Calculate the square root of 0 and get 0.

$$\frac{27}{12500}\pi \times 0\times 10^{3}$$

Multiply \frac{27}{12500} and 0 to get 0.

$$0\pi \times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$0\pi \times 1000$$

Multiply 0 and 1000 to get 0.

$$0\pi$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$