Mensuration Test

Result

Mensuration Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Two circular cylinders of equal volume have their heights in the ratio 9 : 16 Find the ratio of their radii

A
4 : 3

B
5 : 6

C
2 : 5

D
5 : 7

Solution

Let height be 9x and 16x Radii be y¹and y² Since vol. is same, πy₁².9x = πy₂².16x ⇒ (y¹y²)² = 169 ⇒ y¹y² = 4/3 = 4 : 3.
Question 2
1 / -0

Two right circular cones of equal curved surface areas have their slant heights in the ratio of 3 : 5. Find the ratio of their radii.

A
5 : 3

B
5 : 7

C
8 : 3

D
3 : 5

Solution

Let slant heights be 3x and 5x Also, πr₁.3x = π.r₂ . 5x