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A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water is
- a)18π cm3
- b)36π cm3
- c)9π cm3
- d)36 cm3
Correct answer is option 'B'. Can you explain this answer?
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A glass in the form of a right circular cylinder is half full of water...
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A glass in the form of a right circular cylinder is half full of water...
Understanding the Problem
To find the volume of water in a glass shaped like a right circular cylinder, we need to use the formula for the volume of a cylinder, which is given by:
Volume = π × r² × h
where:
- r = radius of the base of the cylinder
- h = height of the cylinder
In this case, the glass is half full, so we will calculate the volume based on half the height.
Given Values
- Base radius (r) = 3 cm
- Total height (h) = 8 cm
- Volume of water = Volume of cylinder when h is halved
Calculating Height of Water
Since the glass is half full, the height of the water (h_water) will be:
h_water = h / 2 = 8 cm / 2 = 4 cm
Calculating the Volume of Water
Now, we can substitute the values into the volume formula:
- r = 3 cm
- h_water = 4 cm
Volume of water = π × (3 cm)² × (4 cm)
Calculating Step-by-Step
- First, calculate r²:
- (3 cm)² = 9 cm²
- Now, substitute into the volume formula:
- Volume = π × 9 cm² × 4 cm
- Volume = π × 36 cm³
Final Result
Thus, the volume of water in the glass is:
Volume = 36π cm³
The correct answer is option 'B' (36π cm³).
To find the volume of water in a glass shaped like a right circular cylinder, we need to use the formula for the volume of a cylinder, which is given by:
Volume = π × r² × h
where:
- r = radius of the base of the cylinder
- h = height of the cylinder
In this case, the glass is half full, so we will calculate the volume based on half the height.
Given Values
- Base radius (r) = 3 cm
- Total height (h) = 8 cm
- Volume of water = Volume of cylinder when h is halved
Calculating Height of Water
Since the glass is half full, the height of the water (h_water) will be:
h_water = h / 2 = 8 cm / 2 = 4 cm
Calculating the Volume of Water
Now, we can substitute the values into the volume formula:
- r = 3 cm
- h_water = 4 cm
Volume of water = π × (3 cm)² × (4 cm)
Calculating Step-by-Step
- First, calculate r²:
- (3 cm)² = 9 cm²
- Now, substitute into the volume formula:
- Volume = π × 9 cm² × 4 cm
- Volume = π × 36 cm³
Final Result
Thus, the volume of water in the glass is:
Volume = 36π cm³
The correct answer is option 'B' (36π cm³).
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Question Description
A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer?.
A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water isa)18π cm3b)36π cm3c)9π cm3d)36 cm3Correct answer is option 'B'. Can you explain this answer?.
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