# Two Circular Cylinders of Equal Volume Have Their Heights in the Ratio 1 : 2 Ratio of Their Radii is - Mathematics

MCQ

Two circular cylinders of equal volume have their heights in the ratio 1 : 2 Ratio of their radii is

#### Options

• $1 : \sqrt{2}$

• $\sqrt{2}: 1$

• 1 : 2

• 1 : 4

#### Solution

Let V1 and V2 be the volume of the two cylinders with h1 and h2 as their heights:

Let r1 and r2 be their base radius.

It is given that

V_1 = V_2 " and "  h_1/h_2 = 1/2

pir_1^2 h_1 = pir_22 h_2

⇒ (r_1^2)/(r_2^2) = h_2/h_1

⇒(r_1^2)/(r_2^2) = 2

⇒(r_1)/(r_2) =sqrt(2)/1

Concept: Surface Area of Cylinder
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.4 | Q 12 | Page 29

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