The length of the common internal tangent is given by √(d² - (r₁ - r₂)²), where d is the distance between the centers, r₁ and r₂ are the radii of the circles. Substituting the values, √(15² - (8 - 3)²) = √(225 - 25) = √200 = 14.14 ≈ 14 cm. Correct answer: c) 14 cm
The volume and height of a cylinder are 6600 cm3 and 21 cm. Find the radius of the cylinder.
Pankaj gives 15% of her salary to his wife, 5% of the remaining amount to his children and 20% of the remaining to his parents. If Pankaj is left with R...
The diagonals of a rhombus are 16 cm and 12 cm. What is the perimeter of the rhombus?
In a rectangular floor of length and breadth of 21 metres and 4 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the co...
The ratio of length to breadth of a rectangle is 10:13. If the sum of the length and breadth of the rectangle is 92 cm, then find the area (cm2
The volume and height of a cylinder are 4224 cm3 and 21 cm. Find the radius of the cylinder.
A closed wooden box of uniform thickness has length, breadth and height 20cms, 16cms and 12 cms respectively. If the thickness of the wooden block is 2 ...
If x = (√5-√3) / (√5+√3) and y is reciprocal of x. then what is the value of √(x3 + y3)?
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 ft, and the sum of the lengths of the...
A wire is moulded into a circle of radius 21 m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus fo...
