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Questions and Answers
What is the volume of a cylinder with a total surface area of 220 sq cm and a height of 6.5 cm?
What is the volume of a cylinder with a total surface area of 220 sq cm and a height of 6.5 cm?
- 250.25 cm³ (correct)
- 2502.5 cm³
- 2.5025 cm³
- 25.025 cm³
If a cuboid with dimensions 44 cm × 30 cm × 15 cm is melted to form a cylinder of height 28 cm, what is the radius of the cylinder?
If a cuboid with dimensions 44 cm × 30 cm × 15 cm is melted to form a cylinder of height 28 cm, what is the radius of the cylinder?
- 15 cm
- 18 cm
- 20 cm
- 10 cm (correct)
What is the ratio of heights between a cone and a hemisphere if they have equal volume and equal bases?
What is the ratio of heights between a cone and a hemisphere if they have equal volume and equal bases?
- 1:3
- 1:2 (correct)
- 3:1
- 2:1
Given the lateral surface area of a cylinder is 176 sq cm and its base area is 385 cm², calculate the cylinder's volume.
Given the lateral surface area of a cylinder is 176 sq cm and its base area is 385 cm², calculate the cylinder's volume.
For a cone and a hemisphere with equal volumes and bases, if the height of the hemisphere is represented as h, what is the height of the cone?
For a cone and a hemisphere with equal volumes and bases, if the height of the hemisphere is represented as h, what is the height of the cone?
If $x$ is directly proportional to $y$, and when $x=6$, $y=30$, what is the value of $y$ when $x=2$?
If $x$ is directly proportional to $y$, and when $x=6$, $y=30$, what is the value of $y$ when $x=2$?
Which of these numbers is the square of an odd natural number?
Which of these numbers is the square of an odd natural number?
Calculate the value of $ rac{ ext{the value of } extbf{y} ext{ when } x=2 ext{ (previous question)}}{ ext{the total of } , extbf{8} + 27 + 64}$.
Calculate the value of $ rac{ ext{the value of } extbf{y} ext{ when } x=2 ext{ (previous question)}}{ ext{the total of } , extbf{8} + 27 + 64}$.
What is the sum of the square roots in the expression $ ext{ } extbf{ ext{ } } extbf{ ext{ }oldsymbol{ ext{ } } ext{ } ext{ } ext{ } ext{ }} ext{ } extbf{ ext{ } } ext{ } ext{ } ext{ } ext{ } ext{ } extbf{ ext{ }} ext{ }$?
What is the sum of the square roots in the expression $ ext{ } extbf{ ext{ } } extbf{ ext{ }oldsymbol{ ext{ } } ext{ } ext{ } ext{ } ext{ }} ext{ } extbf{ ext{ } } ext{ } ext{ } ext{ } ext{ } ext{ } extbf{ ext{ }} ext{ }$?
Which of the following numbers is a perfect square?
Which of the following numbers is a perfect square?
Flashcards
Cylinder surface area calculation
Cylinder surface area calculation
Finding the total surface area of a cylinder given its height and surface area.
Cuboid to cylinder conversion
Cuboid to cylinder conversion
Converting the volume of a cuboid to the volume of a cylinder, and then find the radius of the cylinder
Cone and hemisphere volume ratio
Cone and hemisphere volume ratio
Calculating the ratio of heights of a cone and a hemisphere with equal volumes and base areas.
Cylinder lateral surface area
Cylinder lateral surface area
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Volume of cylinder from dimension
Volume of cylinder from dimension
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Direct Proportion
Direct Proportion
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Square of an Odd Number
Square of an Odd Number
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Simplifying Surds
Simplifying Surds
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Proportionality (x ∝ y)
Proportionality (x ∝ y)
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Value of y (x=2, x∝y, x=6, y=30)
Value of y (x=2, x∝y, x=6, y=30)
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Study Notes
Question 1
- A cylinder has a total surface area of 220 sq cm and a height of 6.5 cm. Find its volume.
- Options: a) 250.025 cm³, b) 2502.5 cm³, c) 2502.5 cm³, d) 250.25 cm³
- Correct answer: 250.25 cm³
Question 2
- A cuboid with dimensions 44 cm × 30 cm × 15 cm was melted and cast into a cylinder of height 28 cm. Find its radius.
- Options: a) 20 cm, b) 15 cm, c) 10 cm, d) 18 cm
- Correct answer: 15 cm
Question 3
- A cone and a hemisphere have equal volume and equal base. Identify the ratio of their height and radius.
- Options: a) 1 : 3, b) 1 : 2, c) 2 : 1, d) 3 : 1
- Correct answer: 3 : 1
Question 4
- The lateral surface area of a cylinder is 176 sq cm with its base area is 10 sq cm. What is its volume?
- Options: a) 830 cm³, b) 380 cm³, c) 308 cm³, d) 803 cm³
- Correct answer: 830 cm³
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Description
Test your understanding of geometry concepts related to volume and surface area through a series of challenging questions. This quiz covers cylinders, cuboids, cones, and hemispheres, allowing you to apply formulas to find solutions. Perfect for reinforcing knowledge in a geometry class setting.
