The height of a right circular
The height of a right circular cylinder is three times its radius. If the curved surface area of the right circular cylinder is 3696 cm\(^2\), then the volume of the cylinder is equal to (taking\(\pi =\frac{22}{7}\)) :
एक लबं वृत्तीय बेलन की ऊंचाई उसकी त्रिज्या की तीन गुनी है। यदि लबं वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 3696 cm\(^2\) है, तो बेलन का आयतन कितना हैं? (\(\pi =\frac{22}{7}\)लीजिए)
Detailed Solution & Logic
25,872 cm\(^3\)
CSA = $ 2\pi r h = 3696 $
$ h = 3r, \pi=\frac{22}{7} $
$ 2 \times \frac{22}{7} \times r \times 3r = 3696 $
$ r = 14 \text{ cm},; h = 42 \text{ cm} $
$ \text{Volume} = \pi r^2 h = \frac{22}{7} \times 14^2 \times 42 $
$ = 25872 \text{ cm}^3 $
Answer = ${25872{cm}^3} $
Similar Practice Questions
If the length of a cuboid is 2 cm, the width is 4 cm, and the volume is 1712 cm\(^3\), find the height of the cuboid (in cm).
If the length of a cuboid is 2 cm, the width is 4 cm, and...
A cylindrical tank of height 10 m
A cylindrical tank of height 10 m and radius 5 m has a small circular...
Find the area of a square
Find the area of a square whose diagonal is of 14 cm length. उस वर्ग...
A solid cylinder with a height of 8 units
A solid cylinder with a height of 8 units and a radius of 3.5 units...
Samriddh has a solid metal ball with a diameter of 9 cm. He melts it and uses the material to make a solid cylinder. If the diameter of the cylinder is the same as that of the ball, find the height of the cylinder.
Samriddh has a solid metal ball with a diameter of 9 cm. He melts it...
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides...
The lengths of the two diagonals
The lengths of the two diagonals of a rhombus are 20 cm and 23 cm....