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03

PRACTICE · CLASS 9 MATHEMATICS (NCERT)

Surface Areas and Volumes Practice Questions & PYQs

Practice important exam questions and previous year problems for Class 9 Surface Areas and Volumes organized by mark distribution for self-assessment.

01 · 1 MARK PRACTICE QUESTIONS

Short Answer / Objective Questions

1 MARK

Q1. Write the formula for the Total Surface Area of a hemisphere of radius r.

1 MARK

Q2. If the radius of a sphere is doubled, find the ratio of their surface areas.

02 · 2 MARKS PRACTICE QUESTIONS

Short Proofs & Calculations

2 MARKS

Q3. Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

2 MARKS

Q4. Find the volume of a sphere whose surface area is 154 cm².

03 · 3 MARKS PRACTICE QUESTIONS

Intermediate Problem Solving

3 MARKS

Q5. The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone. (Use π = 3.14).

3 MARKS

Q6. A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

04 · 5 MARKS PRACTICE QUESTIONS

Long Answer & Complex Solids

5 MARKS

Q7. A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is ₹12 per m², what will be the cost of painting all these cones? (Use π = 3.14 and √(1.04) = 1.02).