Question

75 POINTS

Answer 1

Answer:

a) 235.62 cm³ (nearest hundredth)

b) 2. tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Step-by-step explanation:

volume of a cylinder = $2\pi r^2h$  (where r is the radius and h is the height)

Given:

• r = 5 cm
• h = 3 cm

a) ⇒ volume = $\pi \times 5^2 \times 3=75\pi =235.62$ cm³ (nearest hundredth)

b)  Given:

• r = 10 cm
• h = 3 cm

⇒ volume = $\pi \times 10^2 \times 3=300\pi =942.48$ cm³ (nearest hundredth)

Given:

• r = 5 cm
• h = 9 cm

⇒ volume = $\pi \times 5^2 \times 9=225\pi =706.86$ cm³ (nearest hundredth)

Therefore, 2) tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume