Solve 1560pi(15(8-2)+1/2(8^2-2^2))

$$1560 \pi (15(8-2)+ \frac{ 1 }{ 2 } ( { 8 }^{ 2 } - { 2 }^{ 2 } ))$$

Evaluate

$$187200\pi \approx 588106.144752009$$

Solution Steps

Subtract 2 from 8 to get 6.

$$1560\pi \left(15\times 6+\frac{1}{2}\left(8^{2}-2^{2}\right)\right)$$

Multiply 15 and 6 to get 90.

$$1560\pi \left(90+\frac{1}{2}\left(8^{2}-2^{2}\right)\right)$$

Calculate 8 to the power of 2 and get 64.

$$1560\pi \left(90+\frac{1}{2}\left(64-2^{2}\right)\right)$$

Calculate 2 to the power of 2 and get 4.

$$1560\pi \left(90+\frac{1}{2}\left(64-4\right)\right)$$

Subtract 4 from 64 to get 60.

$$1560\pi \left(90+\frac{1}{2}\times 60\right)$$

Multiply \frac{1}{2} and 60 to get \frac{60}{2}.

$$1560\pi \left(90+\frac{60}{2}\right)$$

Divide 60 by 2 to get 30.

$$1560\pi \left(90+30\right)$$

Add 90 and 30 to get 120.

$$1560\pi \times 120$$

Multiply 1560 and 120 to get 187200.

$$187200\pi$$

Expand

$$187200\pi$$

Solution Steps

Subtract 2 from 8 to get 6.

$$1560\pi \left(15\times 6+\frac{1}{2}\left(8^{2}-2^{2}\right)\right)$$

Multiply 15 and 6 to get 90.

$$1560\pi \left(90+\frac{1}{2}\left(8^{2}-2^{2}\right)\right)$$

Calculate 8 to the power of 2 and get 64.

$$1560\pi \left(90+\frac{1}{2}\left(64-2^{2}\right)\right)$$

Calculate 2 to the power of 2 and get 4.

$$1560\pi \left(90+\frac{1}{2}\left(64-4\right)\right)$$

Subtract 4 from 64 to get 60.

$$1560\pi \left(90+\frac{1}{2}\times 60\right)$$

Multiply \frac{1}{2} and 60 to get \frac{60}{2}.

$$1560\pi \left(90+\frac{60}{2}\right)$$

Divide 60 by 2 to get 30.

$$1560\pi \left(90+30\right)$$

Add 90 and 30 to get 120.

$$1560\pi \times 120$$

Multiply 1560 and 120 to get 187200.

$$187200\pi$$