Solve pi*(9cm^2)*(4kN/cm^2)

$$\pi \cdot ( 9 cm ^ { 2 } ) \cdot ( 4 kN / cm ^ { 2 } )$$

Evaluate

$$36\pi Nkm^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\pi \times 9cm^{4}\times \frac{4kN}{c}$$

Express \pi \times \frac{4kN}{c} as a single fraction.

$$\frac{\pi \times 4kN}{c}\times 9cm^{4}$$

Express \frac{\pi \times 4kN}{c}\times 9 as a single fraction.

$$\frac{\pi \times 4kN\times 9}{c}cm^{4}$$

Cancel out c and c.

$$\pi \times 4kN\times 9m^{4}$$

Multiply 4 and 9 to get 36.

$$\pi \times 36kNm^{4}$$

Differentiate w.r.t. k

$$36\pi Nm^{4}$$