A cylindrical tank of height 10 m
A cylindrical tank of height 10 m and radius 5 m has a small circular cut of 0.5 m radius on its top surface. What would be the total surface area of the tank?
यहां, हमें एक बेलनाकार टैंक का कुल सतही क्षेत्रफल निकालना है, जिसका ऊंचाई (height) 10 मीटर और त्रिज्या (radius) 5 मीटर है, और इसके शीर्ष पर 0.5 मीटर त्रिज्या वाला एक छोटा गोलाकार कट है।
Detailed Solution & Logic
Correct Answer:
\(\frac{599\pi }{4}\:m^2\)
r = 5,m,\ h = 10,m,\ r1 = 0.5,m
Curved surface area of tank = $ 2\pi r h = 2\pi(5)(10) = 100\pi $
Top surface with cut = $ \pi(r^2 - r1^2) = \pi(25 - 0.25) = 24.75\pi $
Bottom surface = $ \pi r^2 = 25\pi $
Total surface area = $ 100\pi + 24.75\pi + 25\pi = 149.75\pi\ \text{m}^2 $
$ \frac{599\pi}{4}\ \text{m}^2 $
Similar Practice Questions
If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius.
If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius. यदि...
If the radius of a hemisphere is 13
If the radius of a hemisphere is 13 \(\surd3\) cm, find its curved surface area....
The volume in m³ of a cuboidal tank with dimensions 34 m × 10 m × 26 m is:
The volume in m³ of a cuboidal tank with dimensions 34 m × 10 m...
A cuboid of dimensions 18 cm × 12 cm × 8 cm is melted and recast into smaller cubes each having an edge of 4 cm.
A cuboid of dimensions 18 cm × 12 cm × 8 cm is melted and...
A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume?
A solid cylinder is reduced in radius by 20% and increased in height by 50%....
The volume of a prism in 960 \(\text {cm}^3\).
The volume of a prism in 960 \(\text{cm}^3\). If its base area is 80 \(\text{cm}^2\)...
If the radius of a sphere is tripled,
If the radius of a sphere is tripled, what is the ratio of the volume...