Solve (pi*6*10+pi*6^2)-(pi*3*5+pi*3^2)

$$( \pi \times 6 \times 10+ \pi \times { 6 }^{ 2 } )-( \pi \times 3 \times 5+ \pi \times { 3 }^{ 2 } )$$

Evaluate

$$72\pi \approx 226.194671058$$

Solution Steps

Multiply 6 and 10 to get 60.

$$\pi \times 60+\pi \times 6^{2}-\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Calculate 6 to the power of 2 and get 36.

$$\pi \times 60+\pi \times 36-\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Combine \pi \times 60 and \pi \times 36 to get 96\pi .

$$96\pi -\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Multiply 3 and 5 to get 15.

$$96\pi -\left(\pi \times 15+\pi \times 3^{2}\right)$$

Calculate 3 to the power of 2 and get 9.

$$96\pi -\left(\pi \times 15+\pi \times 9\right)$$

Combine \pi \times 15 and \pi \times 9 to get 24\pi .

$$96\pi -24\pi$$

Combine 96\pi and -24\pi to get 72\pi .

$$72\pi$$

Expand

$$72\pi$$

Solution Steps

Multiply 6 and 10 to get 60.

$$\pi \times 60+\pi \times 6^{2}-\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Calculate 6 to the power of 2 and get 36.

$$\pi \times 60+\pi \times 36-\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Combine \pi \times 60 and \pi \times 36 to get 96\pi .

$$96\pi -\left(\pi \times 3\times 5+\pi \times 3^{2}\right)$$

Multiply 3 and 5 to get 15.

$$96\pi -\left(\pi \times 15+\pi \times 3^{2}\right)$$

Calculate 3 to the power of 2 and get 9.

$$96\pi -\left(\pi \times 15+\pi \times 9\right)$$

Combine \pi \times 15 and \pi \times 9 to get 24\pi .

$$96\pi -24\pi$$

Combine 96\pi and -24\pi to get 72\pi .

$$72\pi$$