A.) 1,767.1 cm^3
B.) 235.6 cm^3
C.) 441.8 cm^3
D.)3,534.3 cm^3

Question

Nainaig2008idn Nainaig2008idn

06-05-2022
Mathematics

Answered

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A.) 1,767.1 cm^3
B.) 235.6 cm^3
C.) 441.8 cm^3
D.)3,534.3 cm^3

Sagot :

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GlitterSparksidn GlitterSparksidn · Answer 1 · 2022-05-08T01:36:47-04:00

Answer:

A.) 1,767.1 cm^3

Step-by-step explanation:

As in the question we are given Radius of circle 7.5 cm and we need to the volume of the sphere.

Using formula:

[tex]\dashrightarrow \: \: {\underline{\boxed{ \sf{Volume_{(Sphere)} = \dfrac{4}{3} \pi r^3 }}}} \\ \\ [/tex]

Substituting the required values:

[tex] \\ \dashrightarrow \: \: { \sf{Volume_{(Sphere)} = \dfrac{4}{3} \pi \times (7.5)^3 }} \\ \\ \\ \dashrightarrow \: \: \sf Volume_{(Sphere)} = \frac{4}{3} \times \pi \times 421.875 \\ \\ \\ \sf \dashrightarrow Volume_{(Sphere)} = \frac{4}{3} \times \frac{22}{7} \times 421.875 \\ \\ \\ \dashrightarrow \sf Volume_{(Sphere)} = \frac{37125}{21} \\ \\ \\ \dashrightarrow \sf Volume_{(Sphere)} \approx1767.1 \: {cm}^{2} \\ \\ \\ [/tex]

Hence,

Volume of the sphere is 1,767.1 cm^3

Sagot :

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