The total surface area (TSA) of a cylinder is given by:
TSA = 2πr(r + h)
Where, r is the radius of the base, h is the height of the cylinder
Given, Radius (r) = 7 cm and Total Surface Area (TSA) = 968 cm²
968 = 2 x π x 7 x (7 + h)
Divide both sides of the equation by 14π: (968 / 14π) = 7 + h
Simplify: (968 / 44) = 7 + h
22 = 7 + h
Subtract 7 from both sides:
h = 15 cm
Therefore, the height of the cylinder is 15 cm.
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150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishWater flows out through a pipe, whose internal radius is 3 cm, at the rate of x cm per second into a cylindrical tank, the radius of whose base is 60 cm. If the level of water in the tank rises by 15 cm in 5 minutes, then the value of x is:
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Find the volume of a cylinder with radius 5 cm and height 21 cm (use π = 22/7).
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The ratio of the radii of two cylinders is 2: 3 and the ratio of their heights is 5: 3. What will be the ratio of their curved surfaces?
A cylindrical tank has a capacity of 4774 m³. If the radius of the base is 7 m, what is the depth? (Use π = 22/7)
Find the volume of a cylinder with radius of base 7 cm and height 10.2 cm. (Use pi = 22/7)
A cylindrical rod has an outer curved surface area of 5600 cm2. If the length of the rod is 92 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is: (Take π = 22/7)
The curved surface area of a right circular cylinder is 5280 cm2 and its base radius is 21 cm. Find the volume (in cm ) of the cylinder. (Take π = 22/7)
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