Solve 3000/frac{1{4}pi(0.5)^2}

$$\frac { 3000 } { \frac { 1 } { 4 } \pi ( 0.5 ) ^ { 2 } }$$

Evaluate

$$\frac{48000}{\pi }\approx 15278.874536822$$

Solution Steps

Calculate 0.5 to the power of 2 and get 0.25.

$$\frac{3000}{\frac{1}{4}\pi \times 0.25}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3000}{\frac{1}{4}\pi \times \frac{1}{4}}$$

Multiply \frac{1}{4} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3000}{\frac{1\times 1}{4\times 4}\pi }$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 4}.

$$\frac{3000}{\frac{1}{16}\pi }$$