Solve pi*(9cm^3)*(4kN/cm^2)

$$\pi \cdot ( 9 cm ^ { 3 } ) \cdot ( \frac { 4 kN } { cm ^ { 2 } } )$$

Evaluate

$$36\pi Nkm$$

Solution Steps

Express \pi \times \frac{4kN}{cm^{2}} as a single fraction.

$$\frac{\pi \times 4kN}{cm^{2}}\times 9cm^{3}$$

Express \frac{\pi \times 4kN}{cm^{2}}\times 9 as a single fraction.

$$\frac{\pi \times 4kN\times 9}{cm^{2}}cm^{3}$$

Express \frac{\pi \times 4kN\times 9}{cm^{2}}c as a single fraction.

$$\frac{\pi \times 4kN\times 9c}{cm^{2}}m^{3}$$

Cancel out c in both numerator and denominator.

$$\frac{4\times 9\pi Nk}{m^{2}}m^{3}$$

Express \frac{4\times 9\pi Nk}{m^{2}}m^{3} as a single fraction.

$$\frac{4\times 9\pi Nkm^{3}}{m^{2}}$$

Cancel out m^{2} in both numerator and denominator.

$$4\times 9\pi Nkm$$

Multiply 4 and 9 to get 36.

$$36\pi Nkm$$

Differentiate w.r.t. N

$$36\pi km$$