A sphere and a hemisphere have same total surface area- Find the ratio of their radii i-e- r 1- r 2- where r 1 and r 2 are the radii of sphere and hemisphere respectively-A- 1B- -3-4C- -2D- -3-2

The correct option is D √(3)/2 Total surface area of a sphere is nbsp;=4πr_1^2 Total surface area of a hemisphere =3πr_2^2 Since both are equal, nbsp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Surface area of a sphere

A sphere and ...

Question

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.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{3}{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{\sqrt{3}}{4}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{\sqrt{3}}{2}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$\frac{\sqrt{3}}{2}$

Total surface area of a sphere is
$= 4 π {r_{1}}^{2}$

Total surface area of a hemisphere
$= 3 π {r_{2}}^{2}$

Since both are equal,
$4 π$ ${r_{1}}^{2}$ = 3 $π$ ${r_{2}}^{2}$

$\Rightarrow$ $\frac{{r_{1}}^{2}}{{r_{2}}^{2}}$ = $\frac{3}{4}$

$\Rightarrow$ $\frac{r_{1}}{r_{2}}$ = $\frac{\sqrt{3}}{2}$

Suggest Corrections

Similar questions

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.

Two conducting spheres of radii $r_{1}$ and r₂ are at the same potential. Their charges are in the ratio of

Q. Two charged conducting spheres of radii

r_{1}

and

r_{2}

have same electric field near their surfaces. The ratio of their electric potential is

Q. Two conducting spheres of radii

r_{1}

and

r_{2}

are charged to the same surface charge density. The ratio of electric fields near their surface is :

Q. The conducting sphere of radii

r_{1}

and

r_{2}

are at the same potential. What is the ratio of their charges?

Join BYJU'S Learning Program

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.

The correct option is D √32 Total surface area of a sphere is =4πr12 Total surface area of a hemisphere =3πr22 Since both are equal, 4πr12 = 3πr22 ⇒ r12r22 = 34 ⇒ r1r2 = √32​

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.