Question
The diameter-to-height ratio of a right circular cone is
16:15. Given that the curved surface area is 1224 π cm2, determine the cone's slant height.Solution
Let the diameter and height of the given cone be '16x' cm and '15x' cm respectively. So, radius = 16x ÷ 2 = '8x' cm Let the slant height of the cone be 's' cm We know, slant height2 = radius2 + height2 So, s2 = (8x) 2 + (15x) 2 Or, s = √(64x2 + 225x2) Or, s = √289x2 So, 's' = '17x' Curved surface area of cone = π X radius X slant height 1224π = π X 8x X 17x Or, 1224 = 136x2 Or, 9 = x2 So, 'x' = ±3 Since, 'x' cannot be negative, Therefore, slant height of the cone = '17x' = 17 x 3 = 51 cm
- Choose the word opposite in meaning to the bold word.
Luminous Choose the one which best expresses the meaning of the given word .
Proliferate
Choose the correct synonym for the given word.
FrightÂ
Pragmatist
Select the option which is the antonym of the given word.
FRAIL
Identify the most appropriate synonym of the given word-
Eloquent
Match the blanks in List-I with the Prepositions in List-II :
Select the most appropriate ANTONYM of the bold word.
Cautious
Select the most appropriate synonym of the given word.
Caustic
Select the most appropriate ANTONYM of the given word.
Consent
Relevant for Exams:
