Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. T

Question

Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?

Options:

A . 14 cm

B . 12 cm

C . 856 cm

D . 725 cm

Answer: Option D
:
D
Soln: the triangles shown are similar. Hence

\frac{x + (1 + 6)}{x} = \frac{1}{6}

;x=

\frac{7}{5}

; Height of cone:13 +

(\frac{7}{5}) = \frac{72}{5}

.

Hence, Ans: d)

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. If the inner rectangle is 8cm x 6 cm. Find the area of the shaded region.....

Question 2. There is an equilateral triangle of side ‘a’ units. Now we join any two sides of the triangle to form a cone.What ....a cone.What is the slant height of the cone formed?

Question 3. A rectangular field is of dimension 15.4m x12.1 m. A circular well of 0.7 m radius and 3 m depth is dug in the fie....By how much would the level of the field rise?

Question 4. If the right circular cone is cut into three solids of volumes V1,V2 and V3 by two cuts which are parallel to the ba....to the base and trisects the altitude, then V1:V2:V3 is:

Question 5. The ratio between the curved surface area and the total surface area of right cylinder is 2:3 and the total surface area....is 924 cm2. What is the volume of the cylinder?

Question 6. In the following figure, the radii of the largest and smallest circles are 20 and 5. Find the radius of the intermediate....20 and 5. Find the radius of the intermediate circle.

Question 7. The top of a conical container has a circumference of 308 m. Water flows in at a rate of 12 m3 every 2 secs. When ....the container be half filled, if its depth is 12m.

Question 8. A well is dug 20 ft deep and the mud which came out is used to build a wall of width 1 ft around the well on the ground.....5 ft, then what is the radius of the well?

Question 9. The radius of an iron rod is decreased to one fourth of its original radius. If its volume remains constant, then ....If its volume remains constant, then the length will become.

Question 10. Find the height of the right cylinder whose volume is 511 cm3 and the area of the base is 36.5 cm2.....

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

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers