Geometry — Trapezoids Mock Tests

A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone? Use π ≈ 3.14.

The area of a right-angled triangle is 84 sq cm. If one of the sides containing the right angle is 14 cm, find the other side.

The volume of a sphere is equal to the sum of the volumes of two spheres with radii 3 cm and 4 cm. The cube of the radius of the new sphere is:

The area of a circle is 154 cm^2. What is its radius? (Use pi = 22/7)

A cylinder has radius 7 cm and height 10 cm. What is its volume? (Take π = 22/7)

What is the area of a triangle with base 8 and height 5?

For the equilibrium reaction: N₂O₄(g) ⇌ 2NO₂(g), ΔH = +57.2 kJ mol⁻¹. Which set of conditions will shift the equilibrium towards the formation of NO₂?

A train 150 m long passes a pole in 15 seconds and another train of equal length running in the opposite direction in 10 seconds. What is the speed of the second train in km/hr?