find the volume of a cone,if it's total surface area is 7128 square. cm.and radius of the base is 28 cm
Answers
Answered by
2
given, total surface area of cone= 7128 sq. cm radius of the base= 28 cm
total surface area of cone= 22/7*r*(l+r)
or 7128=22/7*28*(l+28)
or l+28= 7128 /88 = 81
or l= 81-28= 53 cm
So, l^2=r^2 + h^2
or 2809= 784 + h^2
or h= sq. root(2809-784) = 45 cm
volume of a cone = 1/3*22/7*r*r*h= 1/3*22/7*28*28*45= 36960 cu. cm.
Hope it helps you!!!
Please mark it as brainliest answer!!!!
total surface area of cone= 22/7*r*(l+r)
or 7128=22/7*28*(l+28)
or l+28= 7128 /88 = 81
or l= 81-28= 53 cm
So, l^2=r^2 + h^2
or 2809= 784 + h^2
or h= sq. root(2809-784) = 45 cm
volume of a cone = 1/3*22/7*r*r*h= 1/3*22/7*28*28*45= 36960 cu. cm.
Hope it helps you!!!
Please mark it as brainliest answer!!!!
Similar questions