A rectangular sheet of paper 40 cm \( \times \) 22 cm is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder will be:
Show Hint
- 3.5 cm
- 7 cm
- \( \frac{80}{7} \) cm
- None of these
The Correct Option is B
Solution and Explanation
Step 2: Conclusion.
Therefore, the radius of the cylinder is 7 cm. So, the correct answer is (B).
Top Questions on Mensuration
The radius of a circle with centre 'P' is 10 cm. If chord AB of the circle subtends a right angle at P, find area of minor sector by using the following activity. (\(\pi = 3.14\))
Activity :
r = 10 cm, \(\theta\) = 90\(^\circ\), \(\pi\) = 3.14.
A(P-AXB) = \(\frac{\theta}{360} \times \boxed{\phantom{\pi r^2}}\) = \(\frac{\boxed{\phantom{90}}}{360} \times 3.14 \times 10^2\) = \(\frac{1}{4} \times \boxed{\phantom{314}}\) <br>
A(P-AXB) = \(\boxed{\phantom{78.5}}\) sq. cm.
- The radii of the circular ends of a frustum of a cone are 14 cm and 8 cm. If the height of the frustum is 8 cm, find: (\(\pi = 3.14\))
(i) Curved surface area of frustum.
(ii) Total surface area of the frustum.
(iii) Volume of the frustum. - How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm?
- If radius of cone is 5 cm and its perpendicular height is 12 cm, then the slant height is ...................... .
From one face of a solid cube of side 14 cm, the largest possible cone is carved out. Find the volume and surface area of the remaining solid.
Use $\pi = \dfrac{22}{7}, \sqrt{5} = 2.2$- CBSE Class X - 2025
- Mathematics
- Mensuration
Questions Asked in UP Board X exam
- The altitude of a right-angled triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
- UP Board X - 2025
- Right-Angled Triangles And Pythagoras Property
- If the sum of first 7 terms of an A.P. is 49 and the sum of first 17 terms is 289, find the sum of first $n$ terms.
- UP Board X - 2025
- Sum of First n Terms of an AP
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]- UP Board X - 2025
- Median of Grouped Data
- If the roots of the equation $x^2+2(m-1)x+(m+5)=0$ are real and equal, find the value of $m$.
- UP Board X - 2025
- Quadratic Equations
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.
- UP Board X - 2025
- Circles, Chords and Tangents