Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Solve this faster with the right shortcut first
Shortcut used: Reduce the ratio first, then scale both terms by the same multiplier.
Solve in 3 steps:
- Write the ratio clearly.
- Find the common multiplier.
- Apply it to the missing term.
Common mistake: Do not scale only one side of the ratio.
Question 5
Multiple Choice Question
Question
Find the volume of a cone with radius 3 cm and height 7 cm. Use π = 22/7.
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Mensuration
The volume is 66 cm³.
Why this answer is correct
The answer keeps the ratio proportional.
Short Explanation
The volume is 66 cm³.
Detailed Explanation
Question
Find the volume of a cone with radius 3 cm and height 7 cm. Use π = 22/7.
ANSWER
Correct Answer: C
Method / Topic: Mensuration
Volume of a cone = 1/3πr²h = 1/3×22/7×3²×7 = 66 cm³.
Need the full method?
See full explanation + shortcut trick
Compare the quick idea with the premium step-by-step explanation and faster solving trick for this pattern.
Question 5
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Shortcut used, common trap, and the fastest solving route
Shortcut used: Reduce the ratio first, then scale both terms by the same multiplier.
Solve in 3 steps:
- Write the ratio clearly.
- Find the common multiplier.
- Apply it to the missing term.
Common mistake: Do not scale only one side of the ratio.
Question
Find the volume of a cone with radius 3 cm and height 7 cm. Use π = 22/7.
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Mensuration
The volume is 66 cm³.
Why this answer is correct
The answer keeps the ratio proportional.
Short Explanation
The volume is 66 cm³.
Detailed Explanation
Question
Find the volume of a cone with radius 3 cm and height 7 cm. Use π = 22/7.
ANSWER
Correct Answer: C
Method / Topic: Mensuration
Volume of a cone = 1/3πr²h = 1/3×22/7×3²×7 = 66 cm³.
Locked premium value
See full explanation + shortcut trick
Use the free answer check first, then unlock the complete breakdown, shortcut path, and richer explanations for similar questions.
Keep Practicing This Pattern
Topic Recommendations
Practice Similar Questions
Recommended Next Practice
Use these suggestions after solving the practice questions above.
Mensuration · Easy
Q2211: In a Mensuration practice set, a student answers 18 questions correctly out of 24. What p…
Mensuration · Easy
Q8460: Find the circumference of a circle with radius 7 cm. Use π = 22/7.
Mensuration · Easy
Q7862: What is the volume of a cuboid with length 8 cm, breadth 5 cm and height 4 cm?
Mensuration · Medium
Q10008: Find the volume of a cylinder with radius 7 cm and height 10 cm. Use π = 22/7.