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

Sail E0 Webinar

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

A Cone Has A Circular Base Of Radius 2 Units And Vertex Of H...

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. Amar, Akbar and Anthony ran on a racetrack, with Amar finishing 160 m ahead of Akbar and 400 m ahead of Anthony. Akbar f....respective constant speeds. What was the length of the racetrack?

Question 2. The smallest possible radius of a circle such that it is possible to place 6 points on the circumference with an integer....any two is x/π. The value of 'x' is ___ .

Question 3. (2+x+x3)5=a0+a1x+.....+a15x15. find the value of a0+2a1+a2+2a3....+2a15 ....

Question 4. Let f(x) = 24x+2 for x ϵ Real numbers. Find out the value of f(12001) + f(22001)+ ...... + f(20002001)....

Question 5. There are two women participating in a chess tournament. Every participant played two games with the other participants.....men played with the women. How many games were played?

Question 6. The set of all positive integers is the union of 2 disjoint subsets {f(1),f(2),f(3),...}& {g(1),g(2),g(3),...}, wher....f(1)<f(2)<f(3)<.....& g(1)<g(2)<g(3)<...... g(n)=f(f(n))+1 for n = 1,2,3,...... What is the value of g(1)?

Question 7. ABCABC is a six digit number where A,B,C are three consecutive natural numbers. Find the remainder when ABCABC is divide....numbers. Find the remainder when ABCABC is divided by 1001?

Question 8. PQR is a right angled triangle with PQ=8, QR=6, QT as altitude. If a circle is drawn with QT as diameter, what is the ar....as diameter, what is the area of the shaded region?

Question 9. A company has to construct a flyover. It deployed 10 men who can finish the work 30 days each working 8 hrs a day. After....Also assume that it rains only during the working hours.

Question 10. The infinite sum 513+55132+555133+5555134+..... equals ....

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

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0