A sphere and its dimension are shown in the diagram. Which measurement is closest to the volume of the sphere in cubic inches? A) 1,325.4 in.3 B) 188.5 in.3 C) 94.2 in.3 D) 1,767.1 in.3

A sphere and its dimension are shown in the diagram. the dimensions are 15
Which measurement is closest to the volume of the sphere in cubic inches?
A) 1,325.4 in.3
B) 188.5 in.3
C) 94.2 in.3
D) 1,767.1 in.3

The volume of the sphere in cubic inches is option D) 1767.1

Step-by-step explanation:

Given,

The diameter of the sphere = 15 inches

The radius of the sphere, r = diameter/2

                                             =15/2

                                           r =7.5 inches

The volume of the sphere = 4/3 πr^3

⇒ 4/3 π(7.5)^3

⇒ 4/33.14421.86

⇒ 1766.25 cubic inches

⇒ 1767 cubic inches (approximately)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

b mark me branliest thx

step-by-step explanation: