Solve (pi2/3(4^2+(4*2)+2^2))

$$( \frac { \pi 2 } { 3 } ( 4 ^ { 2 } + ( 4 \cdot 2 ) + 2 ^ { 2 } ) )$$

Evaluate

$$\frac{56\pi }{3}\approx 58.643062867$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{\pi \times 2}{3}\left(16+4\times 2+2^{2}\right)$$

Multiply 4 and 2 to get 8.

$$\frac{\pi \times 2}{3}\left(16+8+2^{2}\right)$$

Add 16 and 8 to get 24.

$$\frac{\pi \times 2}{3}\left(24+2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\pi \times 2}{3}\left(24+4\right)$$

Add 24 and 4 to get 28.

$$\frac{\pi \times 2}{3}\times 28$$

Express \frac{\pi \times 2}{3}\times 28 as a single fraction.

$$\frac{\pi \times 2\times 28}{3}$$

Multiply 2 and 28 to get 56.

$$\frac{\pi \times 56}{3}$$

Expand

$$\frac{56 \pi}{3} = 58.64306286700947$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{\pi \times 2}{3}\left(16+4\times 2+2^{2}\right)$$

Multiply 4 and 2 to get 8.

$$\frac{\pi \times 2}{3}\left(16+8+2^{2}\right)$$

Add 16 and 8 to get 24.

$$\frac{\pi \times 2}{3}\left(24+2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\pi \times 2}{3}\left(24+4\right)$$

Add 24 and 4 to get 28.

$$\frac{\pi \times 2}{3}\times 28$$

Express \frac{\pi \times 2}{3}\times 28 as a single fraction.

$$\frac{\pi \times 2\times 28}{3}$$

Multiply 2 and 28 to get 56.

$$\frac{\pi \times 56}{3}$$