Subject
Quantitative Aptitude
Topic
Mensuration
In a right circular cylinder, 4 times the sum of the areas of its two circular faces is twice the area of its curved surface. The height of a right circular cylinder is 6 m. Then the radius of the base is:
In a right circular cylinder, 4 times the sum of the areas of its two circular faces is twice the area of its curved surface. The height of a right circular cylinder is 6 m. Then the radius of the base is:
ক)
3 mখ)
2 mগ)
6 mঘ)
1.5 mঙ)
3.5 mExplanation
Given that, 4 times the sum of the areas of two circular faces is twice the area of its curved surface. The height of a right circular cylinder is 6 m. we know that, Area of curved surface of the cylinder = 2 π r h Area of right circular face = π r 2 Then, 4 × Sum of the areas of its two circular faces = 2 × Area of curved surface of the cylinder ⇒ 4 × (π r 2 + π r 2 ) = 2 ×2 π r h ⇒ 8 π r 2 = 4 π r h ⇒ 2 r = h Or, r = h/2 = 6/2 = 3 m.Related questions
The adjacent sides of a parallelogram are 12cm and 14cm and angle between them is 60°. What is the area of the parallelogram?One of the diagonal of a rhombus is 60% of other diagonal. How many times the square of the length of the other diagonal equals the area of the rhombs?The area of trapezium, whose parallel sides are 3.0 m and 6.0 m and perpendicular distance between them is 8.0 m, is:If area of a rhombus is 225 cm2. One of the diagonal is half of the other diagonal. The sum of the diagonals would be:The perimeter of a square is one-fourth of the perimeter of a Rectangle. If the perimeter of the square is 44 cm, and the length of the Rectangle is 51 cm, what is the difference between the breadth of the Rectangle and the side of the square?Find the area of a parallelogram with base is 5 cm and altitude is 4.2 cm.Diagonals of a rhombus are 16 m and 12 m respectively. Find the area of the rhombus.What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length 64 m and breadth 49 m?