A cone has a circular base of radius 2 units and vertex of height 5 units direct

Question

A cone has a circular base of radius 2 units and vertex of height 5 units directly above the centre of the circle. A cube is formed directly above the centre of the circle. The cube has four vertices in the base and four on the sloping sides. What is the approximate length of each side of the cube?

Answer: Option D
:
D
We can solve this question just by using proportions. (because we have two similar triangles)

let the side of the cube=x, the height of the cone =h=5 and the radius of the base=2

$Δ$ ADC $\approx$ $Δ$ AEF
$\frac{r}{h} = \frac{\frac{x}{2}}{h - x}$
$\Rightarrow$ 2(5 - x) = 5 $\frac{x}{2}$
$\Rightarrow$ (10 - 2x) = 2.5x
$\Rightarrow$ x = 2.22 units

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. The smallest possible radius of a circle such that it is possible to place 6 points on the circumference with an integ....any two is x/π. The value of 'x' is ___ .

Question 2. If x2−gx+3=0 and 2x2−6x+g=0 have a common root, then find the value(s) of the common roo....common root, then find the value(s) of the common root.

Question 3. A book shopkeeper gives a discount of 30% on a book and makes a profit of 20% . If the book shopkeeper had given a dis..... Find the marked price (in Rs) of the book.

Question 4. In a triangle r is the radius of the incircle, R is the radius of the circumcircle and A is the area of the triangle. ....h3 are the 3 altitudes of the triangle, then 1h1+1h2+1h3=?

Question 5. ABCDEF is a regular hexagon. PR= 13 AF, QS= 13 BC and PQ is parallel to RS. Also TE= 13 FE and UD= 13 CD and TU is paral....Find the ratio of shaded regions to the hexagon ABCDEF.

Question 6. In how many ways can 1000 be written as sum of 2 or more consecutive natural numbers? ....

Question 7. Two guys A and B are walking down an escalator in the direction of the motion of the escalator. A takes two steps on t....number of steps in the escalator when it is stationary___

Question 8. If x, y, z are distinct positive real numbers then the expression below would be ....

Question 9. Given that x,y,z are all distinct. Then find the value of ....

Question 10. ABCD is a square. O is the point of intersection of the diagonals of the square. Given that RS= 14 BC and QC= 14 DC. ....of areas of Shaded region and unshaded region ?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Chapter 3.1 : Overview of Finance & Accounts Department Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024

Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024

Chapter 1.1 : Personnel Functions- An overview Chapter 1 : Personnel Management SAIL E0 - GFM 2024

GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024

CBT Mixed Test 1 GPOE/GPA SAIL E0 2024