What is the radius of the largest right circular cone that can be cut out from a cube of edge 4.2 cm?

AcademicMathematicsNCERTClass 10

Given: A cube of edge $4.2\ cm$.

To do: To find out the radius of the largest right circular cone to be cut out from the cube.

Solution:

The largest right circular cone that can be cut out from the given cube, its diameter would be equal to side of the cube. And height of the cone would be also equal to the side of the given cube.

$\therefore$ Diameter of the cone $=$ side of the cube $=4.2\ cm$

Radius $=\frac{diameter}{2} =\frac{4.2}{2} =2.1\ cm$

$\therefore$ Option $( B)$ is correct.

Updated on 10-Oct-2022 10:16:12

The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

• A. 4.2

• B. 2.1

• C. 8.4

• D. 1.05

The height and diameter of the base of the largest right circular cone that can be cut out from a cube are equal to the edge of the cube.

Let the radius of the cone be r cm.

∴ 2r = 4.2 cm

`rArr r=4.2/2 cm =2.1 cm`

The correct answer is B

Concept: Heights and Distances

  Is there an error in this question or solution?

The radius in cm of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is a 2.1 b 4.2 c 8.4 d 1.05

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