D3(RAH) QUIZ OF THE DAY (2)

What is the volume of a cube with side 60 mm?

• 216 cm³
• 260 cm³
• 261 cm³
• 206 cm³

Answer explanation

Volume = a³ = 6 cm × 6 cm × 6 cm = 216 cm³.

What happens to the volume of a sphere if its radius is doubled?

• 2 times
• 4 times
• 6 times
• 8 times

Answer explanation

When radius is doubled, volume increases 8 times (V ∝ r³).

Which formula is used to find the volume of a cone?

• 1/3 πr²h
• 2/3 πr²h
• πr²h
• 4/3 πr³

Answer explanation

Volume of cone = 1/3 πr²h.

How many smaller spherical balls of half radius can be made from one large sphere?

• 2
• 4
• 6
• 8

Answer explanation

Volume is 8 times smaller, so 8 small spheres can be made.

What is the total surface area of a hemisphere of radius 1 m?

• 3π m²
• 4π m²
• 8π m²
• 5 m²

Answer explanation

Total surface area of hemisphere = 3πr² = 3π × 1² = 3π m².

What is the formula for the total surface area of a cylinder?

• 2πr(r+h)
• 2πr² h
• 2πr h²
• πr²(r+h)

Answer explanation

TSA of cylinder = 2πr(r+h).

The volume of a pyramid is calculated using which formula?

• 1/3 Ah
• Ah
• Ph
• 2h(l+b)

Answer explanation

Volume of pyramid = 1/3 × base area × height.

What is the total surface area of a cube with side 'a'?

• 6a²
• 4a²
• 2a²
• a²

Answer explanation

The total surface area of a cube is 6a².

What is the volume of a right circular cylinder with radius 'r' and height 'h'?

• πr²h
• πr h²
• 2πr²h
• πr²/h

Answer explanation

Volume of a cylinder = πr²h.

What is the formula for the volume of a sphere?

• 4/3 πr³
• 4/3 πr²
• 2/3 πr³
• πr²h

Answer explanation

The volume of a sphere is 4/3 πr³.