The height and oblique height of a perpendicular circular cone are \( \sqrt{429} \) cm, 25 cm respectively. Find the curved surface area of the cone, assuming the value of π is \( \frac{22}{7} \)
To find the curved surface area of a cone, we need its radius and oblique height (slant height). We are given the height and oblique height. We can use the Pythagorean theorem to find the radius, and then apply the formula for the curved surface area of a cone.
For a right circular cone, the height (\(h\)), radius (\(r\)), and oblique height (\(l\)) form a right-angled triangle. According to the Pythagorean theorem:
\[ l^2 = r^2 + h^2 \]\[ 25^2 = r^2 + (\sqrt{429})^2 \]\[ 625 = r^2 + 429 \]\[ r^2 = 625 - 429 \]\[ r^2 = 196 \]\[ r = \sqrt{196} \]\[ r = 14 \text{ cm} \]The formula for the curved surface area of a cone is:
\[ \text{CSA} = \pi r l \]B) 1100 cm\(^2\) is the correct curved surface area of the cone.
The question asks about the sport in which Saurabh Chaudhary won a gold medal in 2018. This is a general knowledge question related to sports achievements, specifically focusing on Indian athletes.
Correct Option: C) Shooting. Saurabh Chaudhary is an Indian sport shooter who won a gold medal in the 10m Air Pistol event at the 2018 Asian Games.
Select the mirror image for the following image:
Question Image:
Option Image:
To find the mirror image of a given figure, we need to visualize how the figure would appear if reflected across a vertical axis. This involves reversing the horizontal orientation of the elements in the image.
Correct Option: D) The option with the 'V' shapes pointing downwards and horizontally reversed matches the mirror image of the question figure.
This is a blood relation question. We need to establish the relationships between the individuals mentioned to determine Meher's relation to Nida. We will build a family tree step-by-step.
Correct Option: D) Aunt — Meher is Fazil's sister, and Fazil is Nida's father. Thus, Meher is Nida's paternal aunt.
This question asks for the meaning of positive acceleration. To answer this, we need to recall the definition of acceleration and how its sign relates to the change in an object's velocity.
where \(a\) is acceleration, \(\Delta v\) is the change in velocity, \(\Delta t\) is the change in time, \(v_f\) is the final velocity, and \(v_i\) is the initial velocity.
D) The velocity of the object increases. — As explained above, positive acceleration means that the velocity of the object is increasing over time.
5.5 kWh =?
14.0 × 106 J
19.8 × 106 J
14.4 × 108 J
14.4 × 105 J
To convert kilowatt-hours (kWh) to Joules (J), we need to understand the relationship between these units. Kilowatt-hour is a unit of energy, commonly used for electricity consumption, while Joule is the standard SI unit of energy. We will use the conversion factors for kilowatts to watts, and hours to seconds.
B) \(19.8 \times 10^6 \text{ J}\) is the correct conversion of 5.5 kWh to Joules, as calculated above.
The question describes a bacterium with extreme tolerance to harsh environmental conditions like heat, dryness, and toxic chemicals. We need to identify the bacterial structure or mechanism that provides such robust resistance.
Correct Option: D) Endospores
How many triangles are present in the picture below?
To determine the number of triangles in the given diagram, we need to systematically count all possible triangles formed by the intersecting lines.
Upon careful counting, we find:
After counting all possibilities, the total number of triangles is 13.
Correct Option: D) 13
The question asks for the country that hosted the World Cities Summit in 2018. This is a factual question related to international events and requires knowledge of the venues of major global conferences.
Correct Option: B) The World Cities Summit 2018 was organized in Singapore. Singapore has been the consistent host for this biennial event since its inception.
The problem presents a coding scheme where words are assigned numerical values. We need to identify the pattern or rule used to convert the letters of a word into a number and then apply that rule to find the code for "Coffee". The pattern usually involves the positional values of letters in the English alphabet.
B) 40 is the correct answer because the sum of the positional values of the letters in "Coffee" (C=3, O=15, F=6, F=6, E=5, E=5) is \(3+15+6+6+5+5 = 40\).