Surface Areas and Volumes

Q1.A vessel formed by a cone (radius 12 cm, height 16 cm) sitting on a cylinder (same radius, height 14 cm) is filled with oil. The total volume of oil (π = 22/7) is:

• A8316 cm³
• B7168 cm³
• C5808 cm³
• D9604 cm³

Q2.A gulab jamun (cylinder + two hemispherical ends) has length 5 cm, diameter 2.8 cm. If 30% is syrup, the syrup in 45 gulab jamuns (π = 22/7) is approximately:

• A338.2 cm³
• B227.5 cm³
• C450 cm³
• D113.1 cm³

Q3.A toy is in the form of a cone mounted on a hemisphere of the same base radius. If the total surface area of the toy is equal to the CSA of hemisphere plus CSA of cone, which part of the toy is NOT included in the total surface area?

• ACurved surface of cone
• BCurved surface of hemisphere
• CThe flat circular base
• DThe apex of the cone

Q4.Which of the following is NOT a basic solid whose surface area and volume formulas are standard?

• ACuboid
• BFrustum
• CPrism
• DCylinder

Q5.For the cubical block (side 7 cm) with hemisphere (radius 3.5 cm) on top, the surface area of the solid (π = 22/7) is:

• A332.5 cm²
• B350 cm²
• C294 cm²
• D308 cm²