Solve (0.072^3+0.14^3)4*4/3pi

$$( 0.072 ^ { 3 } + 0.14 ^ { 3 } ) 4 \times \frac { 4 } { 3 } \pi$$

Evaluate

$$\frac{97414\pi }{5859375}\approx 0.052229992$$

Solution Steps

Calculate 0.072 to the power of 3 and get 0.000373248.

$$\left(0.000373248+0.14^{3}\right)\times 4\times \frac{4}{3}\pi$$

Calculate 0.14 to the power of 3 and get 0.002744.

$$\left(0.000373248+0.002744\right)\times 4\times \frac{4}{3}\pi$$

Add 0.000373248 and 0.002744 to get 0.003117248.

$$0.003117248\times 4\times \frac{4}{3}\pi$$

Multiply 0.003117248 and 4 to get 0.012468992.

$$0.012468992\times \frac{4}{3}\pi$$

Convert decimal number 0.012468992 to fraction \frac{12468992}{1000000000}. Reduce the fraction \frac{12468992}{1000000000} to lowest terms by extracting and canceling out 256.

$$\frac{48707}{3906250}\times \frac{4}{3}\pi$$

Multiply \frac{48707}{3906250} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{48707\times 4}{3906250\times 3}\pi$$

Do the multiplications in the fraction \frac{48707\times 4}{3906250\times 3}.

$$\frac{194828}{11718750}\pi$$

Reduce the fraction \frac{194828}{11718750} to lowest terms by extracting and canceling out 2.

$$\frac{97414}{5859375}\pi$$

Expand

$$\frac{97414 \pi}{5859375} = 0.052229991553159875$$

Solution Steps

Calculate 0.072 to the power of 3 and get 0.000373248.

$$\left(0.000373248+0.14^{3}\right)\times 4\times \frac{4}{3}\pi$$

Calculate 0.14 to the power of 3 and get 0.002744.

$$\left(0.000373248+0.002744\right)\times 4\times \frac{4}{3}\pi$$

Add 0.000373248 and 0.002744 to get 0.003117248.

$$0.003117248\times 4\times \frac{4}{3}\pi$$

Multiply 0.003117248 and 4 to get 0.012468992.

$$0.012468992\times \frac{4}{3}\pi$$

Convert decimal number 0.012468992 to fraction \frac{12468992}{1000000000}. Reduce the fraction \frac{12468992}{1000000000} to lowest terms by extracting and canceling out 256.

$$\frac{48707}{3906250}\times \frac{4}{3}\pi$$

Multiply \frac{48707}{3906250} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{48707\times 4}{3906250\times 3}\pi$$

Do the multiplications in the fraction \frac{48707\times 4}{3906250\times 3}.

$$\frac{194828}{11718750}\pi$$

Reduce the fraction \frac{194828}{11718750} to lowest terms by extracting and canceling out 2.

$$\frac{97414}{5859375}\pi$$