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The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)
- a)35.48 cm3
- b)30.68 cm3
- c)36.58 cm3
- d)37.68 cm3
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The volume of an ice cream cone of top radius 3 cm and slant height 5 ...
The formula for the volume of a cone V = (1/3)πr^2h, where r is the radius and h is the height. Since the slant height is given, we can use the Pythagorean theorem to find the height.
Using the Pythagorean theorem, we have:
h^2 = (slant height)^2 - (radius)^2
h^2 = 5^2 - 3^2
h^2 = 25 - 9
h^2 = 16
h = 4 cm
Now we can substitute the values into the volume formula:
V = (1/3)π(3^2)(4)
V = (1/3)π(9)(4)
V = (1/3)π(36)
V = 12π cm^3
Therefore, the volume of the ice cream cone is 12π cm^3.
Using the Pythagorean theorem, we have:
h^2 = (slant height)^2 - (radius)^2
h^2 = 5^2 - 3^2
h^2 = 25 - 9
h^2 = 16
h = 4 cm
Now we can substitute the values into the volume formula:
V = (1/3)π(3^2)(4)
V = (1/3)π(9)(4)
V = (1/3)π(36)
V = 12π cm^3
Therefore, the volume of the ice cream cone is 12π cm^3.
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Community Answer
The volume of an ice cream cone of top radius 3 cm and slant height 5 ...
Since, slant height=5cm
therefore, height= slant height- radius
=> h^2= 5^2-3^2
=> h=√16
=> h=4cm
now, v= πr^2 h/3
=> 3.14 x 9 x 4/3
=> 3.14 x 12
=> 37.68
hence,
proved..
therefore, height= slant height- radius
=> h^2= 5^2-3^2
=> h=√16
=> h=4cm
now, v= πr^2 h/3
=> 3.14 x 9 x 4/3
=> 3.14 x 12
=> 37.68
hence,
proved..
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The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer?
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The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer?.
The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π = 3.14)a)35.48 cm3b)30.68 cm3c)36.58 cm3d)37.68 cm3Correct answer is option 'D'. Can you explain this answer?.
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