Solve 1/64*pi*(30*10^-3)^4/-3.1^2*pi

$$\frac { \frac { 1 } { 64 } \times \pi \times ( 30 \times 10 ^ { - 3 } ) ^ { 4 } } { - 3.1 ^ { 2 } \times \pi }$$

Evaluate

$$-\frac{81}{61504000000}\approx -1.316987513 \cdot 10^{-9}$$

Solution Steps

Cancel out \pi in both numerator and denominator.

$$\frac{\frac{1}{64}\times \left(30\times 10^{-3}\right)^{4}}{-3.1^{2}}$$

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

$$\frac{\frac{1}{64}\times \left(30\times \frac{1}{1000}\right)^{4}}{-3.1^{2}}$$

Multiply 30 and \frac{1}{1000} to get \frac{3}{100}.

$$\frac{\frac{1}{64}\times \left(\frac{3}{100}\right)^{4}}{-3.1^{2}}$$

Calculate \frac{3}{100} to the power of 4 and get \frac{81}{100000000}.

$$\frac{\frac{1}{64}\times \frac{81}{100000000}}{-3.1^{2}}$$

Multiply \frac{1}{64} and \frac{81}{100000000} to get \frac{81}{6400000000}.

$$\frac{\frac{81}{6400000000}}{-3.1^{2}}$$

Calculate 3.1 to the power of 2 and get 9.61.

$$\frac{\frac{81}{6400000000}}{-9.61}$$

Express \frac{\frac{81}{6400000000}}{-9.61} as a single fraction.

$$\frac{81}{6400000000\left(-9.61\right)}$$

Multiply 6400000000 and -9.61 to get -61504000000.

$$\frac{81}{-61504000000}$$

Fraction \frac{81}{-61504000000} can be rewritten as -\frac{81}{61504000000} by extracting the negative sign.

$$-\frac{81}{61504000000}$$

Factor

$$-\frac{81}{61504000000} = -1.316987513007284 \times 10^{-9}$$