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Answer:
5) 9.9 cm³ 6)2310 cm³
Step-by-step explanation:
5)
Height of pencil (h) = 21 cm
Radius of wood (R) = 0.4 cm
Radius of lead (r) = 0.1 cm
Volume of wood = πR²h - πr²h
= πh( R² - r² )
= × 21 × ( (0.4)² - (0.1)²)
= 22 × 3 × (0.16 - 0.01)
= 66 × 0.15
= 9.9 cm³
6)
Height of cylinder = 15 cm
Circumference of base = 44 cm
⇒2πr = 44
⇒ 2×22/7×r = 44
⇒ 44/7×r = 44
⇒ r/7 = 1
⇒ r = 7 cm
Volume = πr²h
= × 7 × 7 × 15
= 22 × 7 ×15
= 2310 cm³
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