Solve 4/3*pi*6^3+pi*6^2*10

$$\frac{ 4 }{ 3 } \times \pi \times { 6 }^{ 3 } + \pi \times { 6 }^{ 2 } \times 10$$

Evaluate

$$648\pi \approx 2035.752039526$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{4}{3}\pi \times 216+\pi \times 6^{2}\times 10$$

Express \frac{4}{3}\times 216 as a single fraction.

$$\frac{4\times 216}{3}\pi +\pi \times 6^{2}\times 10$$

Multiply 4 and 216 to get 864.

$$\frac{864}{3}\pi +\pi \times 6^{2}\times 10$$

Divide 864 by 3 to get 288.

$$288\pi +\pi \times 6^{2}\times 10$$

Calculate 6 to the power of 2 and get 36.

$$288\pi +\pi \times 36\times 10$$

Multiply 36 and 10 to get 360.

$$288\pi +\pi \times 360$$

Combine 288\pi and \pi \times 360 to get 648\pi .

$$648\pi$$