A bucket is in the shape of a frustum. The radii of its circular ends

1.	A bucket is in the shape of a frustum. The radii of its circular ends are 33 cm and 21 cm. If the height of the bucket is 42 cm, find the volume of water it can hold in cm3?1. 90021 cm32. 97812 cm33. 87821 cm34. 77021 cm3
Answer» Correct Answer - Option 2 : 97812 cm³ Given: Upper radius(R) = 33 cm Lower radius(r) = 21 cm Height of bucket = 42 cm Concept: Directly use the formula of volume of frustum and calculate the volume of the figure. Formula used: Volume of frustum = (1/3)πh(R² + r² + Rr) Calculation: Volume of frustum = (1/3)πh(R² + r² + Rr) ⇒ (1/3) × (22/7) × 42 × [(33)² + (21)² + (33 × 21)] ⇒ (1/3) × (22/7) × 42 × (1089 + 441 + 693) ⇒ 44 × 2223 ⇒ 97812 cm³ ∴ The volume of water it can hold is 97812 cm3.

A bucket is in the shape of a frustum. The radii of its circular ends are 33 cm and 21 cm. If the height of the bucket is 42 cm, find the volume of water it can hold in cm3?1. 90021 cm32. 97812 cm33. 87821 cm34. 77021 cm3

Answer» Correct Answer - Option 2 : 97812 cm³

Given:

Upper radius(R) = 33 cm

Lower radius(r) = 21 cm

Height of bucket = 42 cm

Concept:

Directly use the formula of volume of frustum and calculate the volume of the figure.

Formula used:

Volume of frustum = (1/3)πh(R² + r² + Rr)

Calculation:

Volume of frustum = (1/3)πh(R² + r² + Rr)

⇒ (1/3) × (22/7) × 42 × [(33)² + (21)² + (33 × 21)]

⇒ (1/3) × (22/7) × 42 × (1089 + 441 + 693)

⇒ 44 × 2223

⇒ 97812 cm³

∴ The volume of water it can hold is 97812 cm3.

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