1. Warm up Notes Preliminary Activity Activity For Fun Surface area and Volume of a sphere

2. Back Review Quiz 1. A tank containing milk has an elliptical cross-section of area 8.7 m 2. If it holds 95.7kL of milk, how long is the tank? (remember 1m 3 = 1kL) 2. Find, correct to 2 significant figures a) the length of arc EI (l = θ x 2πr) 360 b) the area of sector PIE ( A = θ x πr 2 ) 360 3. Solve 9w + 24 = 3w 4. evaluate (2.7 x 10 -4 ) 2 5. Use the compound interest formula A = P(1 + r) n to calculate the amount to which a principal of $5000 will grow after 4 years, if it is invested at 12.5% p.a. paid six monthly. 1. 11m 2.a) 7.3 cm b) 29cm 2 3. w = -4 4. 7.2 x 10 -8 5. $8 120.85

3. Back The surface area of a sphere is calculated using the formula A = 4πr 2 where r = radius of the sphere The volume of a sphere is calculated using the formula V = 4 / 3 πr 3 where r = radius of sphere

4. Back Examples 1. An asteroid in the shape of a sphere has a diameter of 325 m. What is its surface area to the nearest hectare? SA = 4πr 2 = 4 x π x 162.5 2 = 331 830.724... m 2 = 33 ha 2. Calculate the volume of the above asteroid. V = 4 / 3 πr 3 = 4 / 3 x π x 162.5 m 3 = 1.8 x 10 7 m 3

5. Back 41.7% 56.3% 75.7% Do Exercise 2.07 page 64 Q 1 - 8

6. Back $1 104 $1 096.50 $211.70 50.9% $17.25 8.5%

7. Back