The total surface area of a cylinder is given by ________.
\(2\pi r(h + r)\)
A closed cylinder is made of a curved lateral surface plus two circular ends, so its total surface area is the sum of these parts.
The curved (lateral) surface area is \(2\pi r h\), where r is the radius and h is the height.
The two circular ends together add an area of \(2\times\pi r^2 = 2\pi r^2\).
Adding them, total surface area \(=2\pi r h + 2\pi r^2 = 2\pi r(h + r)\).
Hence, the answer is \(2\pi r(h + r)\).
Similar Questions
A conical tent has a base radius of 14 m and a height of 48 m. How many cubic meters of air can it hold? (Use \(\pi\) = )
The circumference of the base of a solid right circular cylinder is 88 cm and its height is 150 cm. What is the volume (in cm3) of the cylinder?
A solid right circular cone is 7 cm high, and the radius of its base is 22.2 cm. It is melted
and recast into a right circular cone with radius of its base 3.7 cm. Then the height (in
cm) of the cone is ______.
A plane parallel to the base divides a cone of height 40 cm into two parts. If the volume
of the upper smaller cone formed is \(\frac{1}{64}\) of the volume of the original cone, calculate
the height of the plane from the base of the cone.
In a workshop, you need to fill a cylindrical tank with a liquid. The tank has a diameter
of 1 meter and a height of 2 meters. Which method will give you the most accurate
measurement of the tank's volume before filling it?
If the volume of a cube is 3375 cm3, what is the length of one side?
Which of the following represents the total surface area of a sphere?
Important Questions from 3-D Mensuration
- Find the surface area of a sphere whose diameter is equal to 98 cm.
- A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $\frac{2}{3}$ full. Find the volume (in cm³) of water in the vessel.
- A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
- Find the volume (in cm³) of the largest right circular cone that can be cut out from a cube with an edge of 8 cm. Use $\pi = \frac{22}{7}$
- The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use $\pi = \frac{22}{7}$)
