The diagram shows a sphere and a solid cylinder.

The sphere has radius 6 cm.
The solid cylinder has a base radius of 3 cm and a height of h
cm.

The total surface area of the cylinder is twice the total surface area of the sphere. Work out the ratio of the volume of the sphere to the volume of the cylinder. Give your answer in its simplest form.

(5 marks)

Neoli is a nurse who works each day from 8: 00 am to 4: 00 pm at the blood collection centre. she takes 45 minutes for her lunch break. on average, it takes neoli 15 minutes to collect each sample and record the patient's details. on average, how many patients can neoli see each day?

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?

Find the average rate of change for the given function drom x=1 to x=2