Find the surface area of a sphere whose diameter is equal to 88 cm

A solid sphere of diameter 6 cm is melted and then cast into cylindrical wire of radius 0.3 cm. Find the length of the wire.

The perimeter of an equilateral triangle ABC is 10.2 cm. What is the area of the triangle ?

The area of a triangle is 85 cm² and its base is 5 cm. Find the height of the triangle corresponding to this given base.

If the length I of a room is reduced by 10% and breadth b is increased by 10%, then find the positive change in its perimeter.

The base of the right-angled triangle is 3 m greater than its height. If its hypotenuse is 15 m, then find its area.

Five solid cubes, each of volume 216 cm³, are joined end to end in a linear manner only (single row arrangement) to form a cuboid. What is the lateral surface area (in cm²) of the cuboid?

P is any point inside the rectangle ABCD. If PA = 27 cm, PB = 21 cm, PC = 6 cm, then the length PD (in cm) is equal to:

The area of a square is 900 cm². Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm²) of the hexagon?

A line joining two end points is called a/an:

Find the surface area of a sphere with a diameter 1/2 cm

If the breadth and height of a closed cuboid are, respectively, 25% and 50% of its length of 12 cm, then find the total surface area of this cuboid.

Find the measure of each exterior angle of a regular octagon.

Which of the following is true?

a) Every trapezium is a parallelogram.

b) Every parallelogram is a square.

c) Every rectangle is a square.

d)Every square is a rhombus.

How many cylinders of radius 10 cm and height 20 cm can be filled with water from a cylinder of radius 20 cm and height 100 cm full of water?

The radius and height of a cylinder are in the ratio 2: 1 Find its total surface area if curved surface area is 616 m²

The ratio of the sum of all the interior angles to an exterior angle of a regular polygon is 24: 1. Find the number of sides of the polygon.

The floor of an office has dimensions 5 mx 3 m. The cost of painting the walls and ceiling is 7,440 at the rate of 60/m². Find the height of the room (in m). (rounded off to one decimal place)

Which of the following is NOT a quadrilateral?

Find the total surface area of a cylinder whose radius of base is 7 cm and height is 15 cm.

What is the measure of each exterior angle of a regular hexagon?

Select the correct option with respect to the following.

Two triangles are similar if:

a) Any two of their sides are equal

b) their corresponding sides are proportional

c) Any two of their angles are equal

d) their corresponding angles are equal

In a parallelogram two adjacent sides are in the ratio 3: 2 and the perimeter is 65 cm. The length of each of the two shorter sides of this parallelogram is:

A cuboidal room is of length 15 m, breadth 17 m, and height 21 m. Find the cost of painting its walls and ceiling at the rate of ₹40/m²

Find the length of the side of an equilateral triangle, if its area is 4√3 sq. unit.

If two parallel lines are intersected by a transversal, then which of the options below is necessarily true?

Find the curved surface area of a cylinder whose diameter of base is 14 m and height is 24 m. [Use: [Use π = 22/7]

If the surface area of a sphere is 36π cm², then the radius of the sphere is:

If the area of an equilateral triangle is 25√3 cm², then the length of each side of the triangle is:

Find the volume of a sphere whose diameter is 12 cm.

Which of the following is NOT a true statement?

The measure of each interior angle of a regular polygon is 120° How many sides does this polygon have?

Find the area of a rhombus whose diagonals are 12 cm and 15 cm long

A parallelogram having all sides equal and diagonals unequal is called a:

Find the area of a regular hexagon (in cm²) with sides of length 6 cm.

If △ ABC is similar to ADEF such that 2AB = DE and BC = 8 cm, then EF is equal to:

Find the cost of fencing of a rectangular land, if it has an area of 100 m² and one side of length 20 m at a rate of 30 per meter.

Which of the following is NOT a property of similar triangles?

If the radius of a sphere is increased by 2 cm, then its surface area increases by 704 cm². Using π = 22/7, find the radius of the sphere before the increase

A cuboidal block, 12 cm by 24 cm by 30 cm, is cut up into an exact number of identical cubes. The least possible number of such cubes is:

The volume of a cylinder is 5500 m³. Find its diameter if the cylinder is 70 m high.

In a right-angled triangle, if the hypotenuse is 4 units greater than one side and 8 units greater than the other, then find the area of the triangle.

The total surface area of a cylinder of radius 70 m and height 140 m, is:

Which of the following is NOT a true statement?

If two angles of a triangle measure 60° and 80°, respectively, then the measure of the third angle of this triangle is:

A91 cm-long wire is cut into two pieces so that one piece length is three-fourth of the other. Find the length of the shorter piece.