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Question

What is the surface area of a sphere of radius 8 cm? (use $\pi = 3.14$)

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
$803.84 \text{ cm}^2$

Sphere Surface Area Calculation

To find the surface area of a sphere, we use the specific formula related to its radius.

Surface Area Formula

The formula for the surface area ($A$) of a sphere is:

$ A = 4 \pi r^2 $

where '$r$' is the radius of the sphere.

Applying the Formula

We are given:

  • Radius ($r$) = 8 cm
  • Value of $\pi$ = 3.14

Substitute these values into the formula:

$ A = 4 \times 3.14 \times (8 \text{ cm})^2 $

Step-by-Step Calculation

  1. First, calculate the square of the radius:

    $ (8 \text{ cm})^2 = 64 \text{ cm}^2 $

  2. Next, multiply 4 by $\pi$:

    $ 4 \times 3.14 = 12.56 $

  3. Finally, multiply the results from the previous steps:

    $ A = 12.56 \times 64 \text{ cm}^2 $

    $ A = 803.84 \text{ cm}^2 $

Result

The surface area of the sphere is $803.84 \text{ cm}^2$.

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Similar Questions

  1. The radius of a sphere is 16 cm. Find its surface area.
  2. The total surface area of a cube having side 40 cm is:
  3. The length, breadth and height of a cuboid are in the ratio of 5 : 4 : 3. If the sum of the length, breadth and height is 120 cm, then what will be its volume?
  4. A cuboid has length 10 cm, breadth 5 cm and height 2 cm. What is its surface area?
  5. The curve surface area of a cylindrical pillar is $264\text{ m}^2$ and its volume is $924\text{ m}^3$. Find the ratio of its height to its diameter.
  6. Find the total surface area of a cone, if its radius and slant height are $2r$ and $\frac{1}{2}$ respectively.
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  8. Five solid cubes, each of volume $39304 \text{ cm}^3$, are joined end to end to form a cuboid. What is the lateral surface area (in $\text{cm}^2$) of the cuboid?
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Important Questions from 3-D Mensuration

  1. Find the surface area of a sphere whose diameter is equal to 98 cm.
  2. A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $\frac{2}{3}$ full. Find the volume (in cm³) of water in the vessel.
  3. A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
  4. Find the volume (in cm³) of the largest right circular cone that can be cut out from a cube with an edge of 8 cm. Use $\pi = \frac{22}{7}$
  5. The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use $\pi = \frac{22}{7}$)
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