If T = 2π sqrt(L/G), make G the subject of the formula. Hence, find the value of G to the nearest whole number when T = 45, L = 8 and π = 3.142.

The given formula is:

$$T = 2\pi \sqrt{\frac{L}{G}}$$

Divide both sides by $2\pi$:

$$\frac{T}{2\pi} = \sqrt{\frac{L}{G}}$$

Square both sides to eliminate the square root:

$$\left(\frac{T}{2\pi}\right)^2 = \frac{L}{G}$$ $$\frac{T^2}{4\pi^2} = \frac{L}{G}$$

To isolate $G$, we can cross-multiply or take the reciprocal of both sides and then multiply by $L$:

$$G T^2 = 4\pi^2 L$$

Divide by $T^2$:

$$G = \frac{4\pi^2 L}{T^2}$$

Given values are $T=45$, $L=8$, and $\pi=3.142$.

$$G = \frac{4 \times (3.142)^2 \times 8}{(45)^2}$$

$$(3.142)^2 = 9.872164$$ $$(45)^2 = 2025$$

$$G = \frac{4 \times 9.872164 \times 8}{2025}$$ $$G = \frac{315.909248}{2025}$$ $$G \approx 0.1560045669$$