Question : The volume of a wall, six times as high as its breadth and half as long as its height, is 23958 cm3. What is the breadth of the wall?
Option 1: 21 cm
Option 2: 15 cm
Option 3: 11 cm
Option 4: 18 cm
Correct Answer: 11 cm
Solution : Let the breadth be $B$. Height = $6B$ Length = $\frac{1}{2} \times 6B$ = $3B$ According to the concept, The volume of a cuboid = Length × Breadth × Height ⇒ $3B \times B \times 6B = 23958$ ⇒ $B^3 = \frac{23958}{18}$ ⇒ $B^3 = 1331$ ⇒ $B = 11$ ∴ The breadth of the wall is 11 cm. Hence, the correct answer is 11 cm.
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Question : The lateral surface area of a cylinder is 1056 cm2 and its height is 16 cm. Find its volume.
Option 1: 4545 cm3
Option 2: 4455 cm3
Option 3: 5445 cm3
Option 4: 5544 cm3
Question : If the area of the base of a cone is 154 cm2 and the area of its curved surface is 550 cm2, then its volume is:
Option 1: 1232 cm3
Option 2: 1122 cm3
Option 3: 1434 cm3
Option 4: 1535 cm3
Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm2, then what is its volume? (Take $\pi=\frac{22}{7}$)
Option 1: 8085 cm3
Option 2: 8820 cm3
Option 3: 11550 cm3
Option 4: 13475 cm3
Question : The ratio of the radius of the base and the height of a solid right circular cylinder is 2 : 3. If its volume is 202.125 cm3, then its total surface area is: (Take $\pi=\frac{22}{7}$)
Option 1: 192.5 cm2
Option 2: 154 cm2
Option 3: 168 cm2
Option 4: 115.5 cm2
Question : The ratio between the height and radius of the base of a cylinder is 7 : 5. If its volume is 14836.5 cm3, then find its total surface area (take $\pi$ = 3.14).
Option 1: 3391.2 cm2
Option 2: 5391.2 cm2
Option 3: 4391.2 cm2
Option 4: 5591.2 cm2
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