Discussion
Volume of a sphere with radius r is obtained by multiplying its surface area by r and a constant. Find the value of constant:
Answer: B
Write the claim as an equation and solve for the constant \( c \).
\[ V = c \times S \times r \]
\[ \frac{4}{3}\pi r^{3} = c \times 4\pi r^{2} \times r = 4c\pi r^{3} \]
\[ \frac{4}{3} = 4c \quad\Longrightarrow\quad c = \frac{1}{3} \]
The same one-third appears in the cone and pyramid formulas, and for the same reason: a solid built of thin pyramids on a surface has volume \( \tfrac{1}{3} \times \text{surface} \times \text{height} \).
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development