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All posts related to Cone

Soni Singh
Shared from Area and Volume 1 on Jun 26, 2018 7:31 PM

A metallic right circular cone of height 9 cm and base radius 7 cm is melted to form a cuboid with two sides measuring 11 cm and 6 cm. The third side of the cuboid measures

 
5 cm
6 cm
7 cm
9 cm
10 cm
Please type your answer before submitting.

No

Shivam Babel
Shared from Mock CAT - 1 on Oct 29, 2014 7:47 PM

Three balls of spherical shape are placed in a hollow inverted cone one above the other. Each ball is in contact with the adjacent ball(s). Also, each ball is in contact with the wall of the cone. The smallest ball has a radius of 8 cm. The largest ball has a radius of 18 cm.

The minimum height of the cone, such that the largest ball does not protrude out of the cone, is

 
72 cm
76 cm
108 cm
116 cm
95 cm
Please type your answer before submitting.

Plz explain

Anil Kumar
Shared from Mock CAT - 1 on Oct 21, 2014 4:29 PM

Three spherical marbles are placed in a hollow inverted cone, one above the other. Each marble is in contact with the adjacent marble(s). Also, each marble is in contact with the wall of the cone. The smallest marble has a radius of 8 cm. The largest marble has a radius of 18 cm.

The radius of the middle marble is

 
10 cm
12 cm
15 cm
16 cm
18 cm
Please type your answer before submitting.

It would need concept of similar triangles.

Shashwat Pandey
Shared from Mathematics (SAT) on May 29, 2014 4:26 PM

The ratio of lateral surface area and volume of cone is 2 : . Find the total surface area of the cone when the ratio of height to radius is : 1.

 
18π ( - 1) cm2
17π( - 1) cm2
18π ( + 1) cm2
17π( + 1) cm2
15π( - 1) cm2
Please type your answer before submitting.

Omg are you an idiot?!?! I'm laughing so hard at your knowledge in basic maths. You're asking for the TSA of a cone and give the explanation and answer for that of a cylinder LOL

Rahul S
Shared from Area and Volume on Oct 29, 2013 4:25 PM

The volume of a cone increases by x cubic units after its radius is increased by 6 units. Increasing the height of the same cone by 9 units also increases the volume by x cubic units. If the original height is 3 units, then the original radius is

 
5 units
6 units
7 units
8 units
9 units
Please type your answer before submitting.

Easier way : (V x)/V = (r 6^2)/(r)^2 which is also eq to h 6/h since V is directly proportional to r^2 and h