a conical tent has a area of its base 154 and its curved surface area has 550& find its volume?
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Answered by
137
area of its base = 154cm²
22/7 × radius² = 154cm²
radius²=49
radius of the cone = 7
curved surface area of the cone = 22/7 * 7 * slant height
550 = 22/7 * 7 * l
550/22 = l
l=25 cm
l² = h² + r²
625 = h² + 49
h² = 576
h= 24
vol of the cone =1/3 * 22/7 * r² * h
22/7 * r² = 154
⇒1/3 * 154 * 24
volume of the cone = 1232cm³
22/7 × radius² = 154cm²
radius²=49
radius of the cone = 7
curved surface area of the cone = 22/7 * 7 * slant height
550 = 22/7 * 7 * l
550/22 = l
l=25 cm
l² = h² + r²
625 = h² + 49
h² = 576
h= 24
vol of the cone =1/3 * 22/7 * r² * h
22/7 * r² = 154
⇒1/3 * 154 * 24
volume of the cone = 1232cm³
Answered by
9
Answer:
volume of the cone = 1232cm³
Step-by-step explanation:
area of its base = 154cm²
22/7 × radius² = 154cm²
radius²=49
radius of the cone = 7
curved surface area of the cone = 22/7 * 7 * slant height
550 = 22/7 * 7 * l
550/22 = l
l=25 cm
l² = h² + r²
625 = h² + 49
h² = 576
h= 24
vol of the cone =1/3 * 22/7 * r² * h
22/7 * r² = 154
⇒1/3 * 154 * 24
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