A hemisphere is put above an inverted cone of height 9 cm and radius 6

1.	A hemisphere is put above an inverted cone of height 9 cm and radius 6 cm such that base of hemisphere and cone matches. Find the volume of shape?1. 120π cm32. 360π cm33. 240π cm34. 252π cm3
Answer» Correct Answer - Option 4 : 252π cm³ Given: Radius of cone = 6 cm Radius of hemisphere = 6 cm Height of cone = 9 cm Formula: Volume of cone = (1 / 3) × πr²h Volume of hemisphere = (2 / 3) × πr³ Calculation: Total volume of shape = Volume of cone + volume of hemisphere ⇒ (1 / 3) × π × 6² × 9 + (2 / 3) × π × 6³ ⇒ (1 / 3) × π × 36 × (9 + 12) ⇒ 12π × 21 ⇒ 252π cm³

A hemisphere is put above an inverted cone of height 9 cm and radius 6 cm such that base of hemisphere and cone matches. Find the volume of shape?1. 120π cm32. 360π cm33. 240π cm34. 252π cm3

Answer» Correct Answer - Option 4 : 252π cm³

Given:

Radius of cone = 6 cm

Radius of hemisphere = 6 cm

Height of cone = 9 cm

Formula:

Volume of cone = (1 / 3) × πr²h

Volume of hemisphere = (2 / 3) × πr³

Calculation:

Total volume of shape = Volume of cone + volume of hemisphere

⇒ (1 / 3) × π × 6² × 9 + (2 / 3) × π × 6³

⇒ (1 / 3) × π × 36 × (9 + 12)

⇒ 12π × 21

⇒ 252π cm³

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A hemisphere is put above an inverted cone of height 9 cm and radius 6 cm such that base of hemisphere and cone matches. Find the volume of shape?1. 120π cm32. 360π cm33. 240π cm34. 252π cm3

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