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From a large cone of volume 600 cm3, a small cone is cut whose height is 70% of the height of the large cone. If the radius of the small cone is 50% of the radius of the large cone, then find the volume of the remaining part left after cutting the small cone.
The sum and difference of the slant height and height of cone A are in the ratio 3 ∶ 1, while the sum and difference of the slant height and height of cone Y are in the ratio 5 ∶ 1. If the volume of cone A is 30% of the volume of cone B, then the height of cone A is what percentage of the height of cone B.
Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q?
The following are the criteria set by a Retail outlet for the selection of candidates for the post of Store In charge in a reputed mall. 1. The candidate must be a graduate in any stream with minimum of 50% marks. 2. The candidate must have Minimum of 5 years of Sales experience in Retail. 3. The age of the candidate should not be less than 25 years and more than 34 years as on 1st October, 2019. (a) If a candidate satisfies all the criteria except 2 as given above but has an MBA degree and has minimum of 2 years of work experience in sales, she/he must be sent to the General Manager, Recruitment for further interview. (b) If a candidate satisfies all the criteria except 3, but has more than 5 years experience as a Group Manager and above in Sales managing a team of sales executives, then she/he must be sent to the Regional Manager, Sales & Marketing, for further interview Based on the above criteria and conditions, analyze and decide which of the following course of action should be taken for the candidate whose description is provided below. Please note that you are not to assume anything other than the given information. Sujoy is a graduate with 55% marks and MBA through Correspondence. He was born on Sept 20, 1990. He has 1 year of work experience as a sales executive and 2 years of experience as a Group Manager, Sales. On the basis of the information as given above, which of the following decisions would be appropriate
A plane cuts a cone such that the volume of the whole cone is 125 times of the smaller cone formed. Find the height of the smaller cone if the height of the full cone is 15 cm.
A right circular cone of circular base radius R and H resting on a plane. The cone is cut by a plane parallel to the base. The new circular cone-formed has a 12.5% volume of the older cone. What is the height of the new cone?
If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?
What will be the volume of the shape formed by carving out a right circular cone from a hemisphere of radius R cm, such that the volume of the cone is maximum and the base of the hemisphere is the base of the cone. I. Volume of the cone is 9π cm3.  II. Ratio of the total surface area of the cone to the hemisphere is (√2 + 1) : 3.
 The following question has two statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.  The height of a right circular cone is ‘h’ and radius is ‘r’. A small cone is cut-off at the top by a plane parallel to the base. At what height above the base, the section has been made? I) Height of cone (h) = 40 cm II) Volume of smaller cone ∶ volume of larger cone = 1 ∶ 30
The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area at the rate of 14 paisa per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone