Samir’s family has decided to purchase an above-ground cylindrical swimming pool for his backyard. The best space that they have for a pool measures 360 cm across. The tallest pool that they can buy is 120 cm high. What is the volume of the largest pool that they can buy? Give your answer in cubic metres (m3). The walls on the pool inflate to be 10 cm thick but the bottom of the pool is just a thin piece of vinyl. What would the full capacity of this pool be? The manufacturer’s instructions warn that the pool should only be filled to 90% of its capacity. How much water would it take to fill the pool 90%? Give your answer in litres.

If measure angle LMB=92°, what is measure angle LDB?

Let A={a,b,c,d,e,f,g,x,y,z}, B={1,2,c,d,e}, C={d,e,f,g,2,y} verify A\(BUC)=(A\B)n(A\C)

(a+b)4