The volume of a sphere is 1.76 ${cm}^{3}$ . The volume of 25 such spheres taking into account the significant figure is:

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0.44 \times 1 0^{2} {cm}^{3}

44.00

{cm}^{3}

44.0

{cm}^{3}

{cm}^{3}

answer is C.

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Detailed Solution

Concept: The volume of one sphere multiplied by 25 will equal the volume of 25 spheres. The volume of a single sphere stated in the question will have exactly the same number of significant digits in the answer.
Question Image

Let's first clarify the assertion that is made.
"The volume of 25 such spheres taken into account," it is stated. As a result, the statement implies that 25 spheres have the same volume as the one specified. Therefore, the volume of one sphere multiplied by 25 will provide the answer for the volume of the 25 spheres.
So, based on the question, we may calculate that a sphere's volume is 1.76

{cm}^{3}

V=1.76

{cm}^{3}

The volume of 25 such spheres is therefore given as,
V=

25 \times 1.76 {cm}^{3}

V=44

{cm}^{3}

There is also a mention about the important number in the question.
The amount of digits in the number is referred to as the important figure. In this instance, a sphere's volume is represented by three digits, or 1.76. As a result, the solution for the volume of 25 such spheres should likewise be written as a sum of three digits.
Since the result we got is 44, we will put a decimal point before and a zero after it so that the result's value stays the same.
Thus, the end outcome is 44