Solve pi^2*207*10^9*(0.0203*0.00312^3)/12*(1*0.5969)^2

$$\frac { \pi ^ { 2 } * 207 * 10 ^ { 9 } * ( 0.0203 * 0.00312 ^ { 3 } ) } { 12 * ( 1 * 0.5969 ) ^ { 2 } }$$

Evaluate

$$\frac{26588199456\pi ^{2}}{890724025}\approx 294.608658802$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{0.0203\times 69\times 0.00312^{3}\times 10^{9}\pi ^{2}}{4\times 0.5969^{2}}$$

Multiply 0.0203 and 69 to get 1.4007.

$$\frac{1.4007\times 0.00312^{3}\times 10^{9}\pi ^{2}}{4\times 0.5969^{2}}$$

Calculate 0.00312 to the power of 3 and get 0.000000030371328.

$$\frac{1.4007\times 0.000000030371328\times 10^{9}\pi ^{2}}{4\times 0.5969^{2}}$$

Multiply 1.4007 and 0.000000030371328 to get 0.0000000425411191296.

$$\frac{0.0000000425411191296\times 10^{9}\pi ^{2}}{4\times 0.5969^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{0.0000000425411191296\times 1000000000\pi ^{2}}{4\times 0.5969^{2}}$$

Multiply 0.0000000425411191296 and 1000000000 to get 42.5411191296.

$$\frac{42.5411191296\pi ^{2}}{4\times 0.5969^{2}}$$

Calculate 0.5969 to the power of 2 and get 0.35628961.

$$\frac{42.5411191296\pi ^{2}}{4\times 0.35628961}$$

Multiply 4 and 0.35628961 to get 1.42515844.

$$\frac{42.5411191296\pi ^{2}}{1.42515844}$$

Divide 42.5411191296\pi ^{2} by 1.42515844 to get \frac{26588199456}{890724025}\pi ^{2}.

$$\frac{26588199456}{890724025}\pi ^{2}$$