Geometry hot tub

Question

The inner diameter of the circular hot tub is 160 cm and the inner depth is 95 cm. a) How many liters of water can the hot tub hold? (Right answer 1910 litres b) How much does the inner diameter change when the customer orders a 2600 liter hot tub? (correct answer 27 cm) c) How many meters of 100 mm wide hex panels are needed to line the outer wall of the hot tub when the outer diameter is 200 cm and the height to the rim is 108 cm? (correct answer 69m)

Answer 1

a)

V = πr²h

V = π(80)²(95)

b)

2600 = πr²(95), calculate and subtrace from a)

c)

SA = πdh

SA = π(200)(108), divide by 10 cm (100 mm = 10 cm)