Quantity B: Volume of a pyramid with square base of side 15 cm and hei

1.	Quantity B: Volume of a pyramid with square base of side 15 cm and height is 10 cm.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B
Answer» Quantity A: Let height of the cylinder = a cm, RADIUS = (a + 2) cm and Curved surface area = 220 cm² ⇒ 2πrh = 220 ⇒ 2 × 22/7 × a × (a + 2) = 220 ⇒ a² + 2a – 35 = 0 ⇒ (a + 7) (a – 5) = 0 ⇒ a = 5 or -7 (? height can’t be NEGATIVE) ⇒ Height = 5 cm and radius = 7 cm ⇒ Volume of cylinder = πr²h = 22/7 × 7 × 7 × 5 = 770 cm³ Quantity B: ⇒ Volume of the pyramid = 1/3 × (Area of base) × (Height) = 1/3 × (15 × 15) × 10 = 750 cm³ ∴ Quantity A > Quantity B

Quantity B: Volume of a pyramid with square base of side 15 cm and height is 10 cm.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

Answer»

Quantity A:

Let height of the cylinder = a cm, RADIUS = (a + 2) cm and Curved surface area = 220 cm²

⇒ 2πrh = 220

⇒ 2 × 22/7 × a × (a + 2) = 220

⇒ a² + 2a – 35 = 0

⇒ (a + 7) (a – 5) = 0

⇒ a = 5 or -7 (? height can’t be NEGATIVE)

⇒ Height = 5 cm and radius = 7 cm

⇒ Volume of cylinder = πr²h = 22/7 × 7 × 7 × 5 = 770 cm³

Quantity B:

⇒ Volume of the pyramid = 1/3 × (Area of base) × (Height) = 1/3 × (15 × 15) × 10 = 750 cm³

∴ Quantity A > Quantity B

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Quantity B: Volume of a pyramid with square base of side 15 cm and height is 10 cm.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

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