The ratio of the total surface area of a sphere and a hemisphere of the same radius is

2 : 1

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3 : 2

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4 : 1

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4 : 3

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Solution

The correct option is D
4 : 3

Total surface area of a sphere $= 4 π r^{2}$

And total surface area of a hemispher $= 3 π r^{2}$

Ratio = $4 π r^{2} : 3 π r^{2}$ = 4 : 3

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Similar questions

Q. The ratio of the total surface area of a sphere and a hemisphere of same radius is

(a) 2 : 1

(b) 3 : 2

(c) 4 : 1

(d) 4 : 3

Q. The ratio of the total surface area of a sphere to that of a hemisphere when they have the same radius is

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e. $\frac{r_{1}}{r_{2}}$ , where $r_{1}$ and $r_{2}$ are the radii of sphere and hemisphere respectively.

Q. If the volume of a sphere is equal to the volume of a hemisphere then, what is the relationship between the radius of the sphere to the radius of the hemisphere?
[ Conside

r_{1}

as radius of sphere and

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The ratio of the total surface area of a sphere and a hemisphere of the same radius is

The correct option is D 4 : 3 Total surface area of a sphere =4πr2 And total surface area of a hemispher =3πr2 Ratio = 4πr2:3πr2 = 4 : 3

The correct option is D
4 : 3

Total surface area of a sphere $= 4 π r^{2}$

And total surface area of a hemispher $= 3 π r^{2}$

Ratio = $4 π r^{2} : 3 π r^{2}$ = 4 : 3