The volume of a sphere of radius r is obtained by multiplying its surface area with: Option 1: 4/3 Option 2: r/3 Option 3: 4r/3 Option 4: 3r

Answer: r/3. Solution: Volume of sphere = 4/3 r^3 and surface area = 4 r^2. The required multiplier = Volume / Surface area = (4 r^3 / 3)/(4 r^2) = r/3.

Geometry

Solids

Easy

The volume of a sphere of radius r is obtained by multiplying its surface area with:

$\frac{4}{3}$

$\frac{r}{3}$

$\frac{4r}{3}$

$3r$

✅ Correct Option: 2

Volume of sphere = $\frac{4}{3}\pi r^3$ and surface area = $4\pi r^2$ . The required multiplier = Volume / Surface area = $\frac{4\pi r^3 / 3}{4\pi r^2} = \frac{r}{3}$ .

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2026: 14 May Shift 2

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A. A cube of edge 4 cm.

B. A cylinder with a diameter of base 14 cm and height 35 cm.

C. A hemisphere with 28 cm diameter.

D. A sphere with a radius of 7 cm.

Arrange the above in decreasing order and choose the correct answer from the options given below:

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2023: 24 May Shift 3

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2026: 6 June Shift 1

Three solid cubes of sides 1 cm, 6 cm, and 8 cm are melted to form a new cube. The surface area of the cube so formed is:

The volume of a sphere of radius r is obtained by multiplying its surface area with:

Solution

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