Question
Calculate the curved surface area of a cone with a
diameter of 42 cm, and a height that is 1 cm shorter than half its diameter.Solution
Let, the radius, height and slant height of the cone be 'r' cm, 'h' cm, and 'l' cm. r = (42/2) = 21 cm h = 21 - 1 = 20 cm So, l2 = 212 + 202 = 441 + 400 Or, l2 = 841 Since, the slant height cannot be negative. So, l = 29 So, the curved surface area of the cone = π X r X l = (22/7) X 21 X 29 = 1,914 cm2
If perpendicular and base of a right-angle triangle are 6 cm and 8 cm respectively, then find the length of the shortest median of triangle.
The length of a rectangle is 64 cm. If the ratio of length to perimeter of the rectangle is 4:15, find the area of a circle whose diameter is 6 cm less ...
If 2156 is added in a number then number become 344(4/9)% of itself. Find the original number?
A diagonal of a rhombus is 6 cm. If its area is 24 cm, then the length of each side of the rhombus is?
A solid rectangular block with dimensions 60 cm × 40 cm × 20 cm is melted down, and identical smaller rectangular blocks, each with a volume of 80 cm�...
The length and breadth of a rectangle are increased by 10% and 20% respectively. The increase in the area of the resulting rectangle will be:
Sides of a parallelogram are in the ratio 5:4. Its area is 1500 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is:Â
The radius of a cylindrical metal drum is 18 cm. The height is 25% less than its radius. If 1 cm³ of the metal weighs 0.3 gm, find the total weight of ...
The radius of the base of a solid right circular cylinder is 7 cm, and its height is four times the radius of the base. Determine...
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the peri...
Relevant for Exams:
