Question
A cone has a base radius of 6 cm and a height of 8 cm. A
sphere is placed inside the cone such that it touches the base and the slant height of the cone. Find the radius of the sphere.Solution
The radius of the sphere can be found using the formula: Radius of sphere = (r × h) / (√(r² + h²) + r) Where r = 6 cm (radius of cone) and h = 8 cm (height of cone). Radius = (6 × 8) / (√(6² + 8²) + 6) = 48 / (√(36 + 64) + 6) = 48 / (√100 + 6) = 48 / (10 + 6) = 48 / 16 = 3 cm Correct Option: b
Select the option that expresses the given sentence in direct speech.
My friend told me I could stay at his place in Dehradun whenever I wished.
Select the most appropriate indirect form of the given sentence.
Frank said to Albert, “ How is your search for a new house coming along?”
Select the option that expresses the given sentence in reported speech.
The villager said to the little boy, “How are you doing?”
Select the most appropriate indirect form of the given sentence.
Amit said to me, “Your parents are waiting for you.”
He glanced at his watch, "And by the way, I must be off."
The old lady said that the kids were playing.
Sameera said to me, “Should I go to the party tomorrow”?
The teacher said to his students, " Health is wealth, whatever you may say."
Select the most appropriate indirect form of the given sentence.
Esha said, “Avika is not going to school today as she has fever.”
"The taxi is here," said the watchman.
Relevant for Exams:
