Respuesta :
The following mentioned are the measurements -
- volume of the blue sphere = 33.51 cubic inches.
- volume of the red sphere = 4.18 cubic inches.
- surface area of the blue sphere = 50.26 square inches.
- surface area of the red sphere = 12.57 square inches.
We have a blue sphere with a diameter of 4 inches and a red sphere which is half as big with a diameter of 2 inches
We have to find the -
- Calculate the volume of the blue sphere in terms of inches cubed.
- Calculate the volume of the red sphere in terms of inches cubed.
- Calculate the surface area of the blue sphere in terms of inches squared.
- Calculate the surface area of the red sphere in terms of inches squared.
A sphere is a _____ dimensional figure whereas a surface is a _____ dimensional figure. Fill the blanks with correct answer.
A sphere is a three dimensional figure whereas a surface is a two dimensional figure.
According to the question -
Radius of blue sphere = 4 / 2 = 2 inches
Radius of red sphere = 2 / 2 = 1 inches
- The volume of the blue sphere will be - [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3} \pi \times(2)^{3}[/tex] = 33.51 cubic inches.
- The volume of the red sphere will be - [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3} \pi \times(1)^{3}[/tex] = 4.18 cubic inches.
- The surface area of the blue sphere - [tex]4\pi r^{2}[/tex] = 4[tex]\pi[/tex] x [tex](2)^{2}[/tex] = 50.26 square inches.
- The surface area of the red sphere - [tex]4\pi r^{2}[/tex] = 4[tex]\pi[/tex] x [tex](1)^{2}[/tex] = 12.57 square inches.
Hence,
- volume of the blue sphere = 33.51 cubic inches.
- volume of the red sphere = 4.18 cubic inches.
- surface area of the blue sphere = 50.26 square inches.
- surface area of the red sphere = 12.57 square inches.
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brainly.com/question/21623450
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