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The volume of a right circular cone of radius 30 cm and slant height 50 cm is
- a)37080 cm3
- b)37680 cm3
- c)37560 cm3
- d)37000 cm3
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The volume of a right circular cone of radius 30 cm and slant height 5...
Given:
Radius of the cone (r) = 30 cm
Slant height of the cone (l) = 50 cm
To find:
The volume of the cone
Solution:
Step 1: Find the height of the cone
Using Pythagoras theorem, we can find the height (h) of the cone.
h² = l² - r²
h² = 50² - 30²
h² = 2500 - 900
h² = 1600
h = √1600
h = 40 cm
Step 2: Find the volume of the cone
The volume (V) of a cone is given by the formula:
V = (1/3) * π * r² * h
Substituting the given values:
V = (1/3) * 3.14 * (30²) * 40
V = (1/3) * 3.14 * 900 * 40
V = (1/3) * 3.14 * 36000
V = 37680 cm³
Therefore, the volume of the right circular cone is 37680 cm³, which corresponds to option 'B'.
Radius of the cone (r) = 30 cm
Slant height of the cone (l) = 50 cm
To find:
The volume of the cone
Solution:
Step 1: Find the height of the cone
Using Pythagoras theorem, we can find the height (h) of the cone.
h² = l² - r²
h² = 50² - 30²
h² = 2500 - 900
h² = 1600
h = √1600
h = 40 cm
Step 2: Find the volume of the cone
The volume (V) of a cone is given by the formula:
V = (1/3) * π * r² * h
Substituting the given values:
V = (1/3) * 3.14 * (30²) * 40
V = (1/3) * 3.14 * 900 * 40
V = (1/3) * 3.14 * 36000
V = 37680 cm³
Therefore, the volume of the right circular cone is 37680 cm³, which corresponds to option 'B'.
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Community Answer
The volume of a right circular cone of radius 30 cm and slant height 5...
Option B is correct...
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The volume of a right circular cone of radius 30 cm and slant height 50 cm isa)37080 cm3b)37680 cm3c)37560 cm3d)37000 cm3Correct answer is option 'B'. Can you explain this answer?
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