ID Student 1 The diameter of a circle is doubled By what fac

ID: Student: 1. The diameter of a circle is doubled. By what factor is the area changed? A. v2 2. By what factor does the volume of a cube increase if the lengths of the edges are tripled? A. 6 increase if the lengths of the edges are tripled D, 27 3. The A. 6%. B. 9%. C. 12%. side of a cube is decreased by 6%. The percentage decrease of the volume of the cube is 17% 4.1.0 centimeter equalsmicrometers. A. 1.0 × 10.12 1.0 × 10-6 1.0× 10\" D. 1.0 x 10 5. The length 3.76 mm is multiplied by 0.05 mm. The appropriately rounded product is A. 0.18 mm2 0.2 mm2 0.19 mm D. 0.1881 mm2. E. 0.29 mm2 6. Using the following unit conversions: 1.00 fluid ounce 29573 mi, 1.001000 cm, density of water 1.00gm/cm, the number of fluid ounces in a kg of water is A 48.8 fluid ounces. 0.1 fluid ounces 8 fluid ounces. D. 25.7 fluid ounces.

Solution

(1).Area of the circle is directly proportional to square of the diameter.

So, A \' / A = (d \' / d) ²

Given d \' = 2d

So , A \' / A = ( 2d / d) ²

                 = 4

So, option( c) is correct.

(2). Volme is directly proportional to cube of the side.

i.e., V \' / V = ( a \' / a) ³

Given a \' = 3 a

V \' / V = ( 3a/ a) ³

          = 27

Option( d) is correct.

(4). 1 cm = 10 ^-2 m

              = 10 ^-2 x 10 ⁶ micro m

              = 10 ⁴ micro meter

(5).3.76 mm x 0.05 mm = 0.188

                                   = 0.19 mm ²