The diagram above shows a cone with the dimensions of its...
The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
12cm
15cm
18cm
24cm
30cm
Correct answer is D
Considering the smaller and larger triangle, these two are similar triangles. Hence,
If the height of the smaller triangle = h,
\(\therefore \frac{h}{6} = \frac{h + 12}{12}\)
\(12h = 6h + 72 \implies 6h = 72\)
\(h = 12 cm\)
\(\therefore\) The height of the cone = 12 + 12 = 24 cm
Similar Questions
Make \(\frac{a}{x}\) the subject of formula \(\frac{x + 1}{x - a}\) = m...
Solve the equation 10-3x-x2 = 0...
The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x...
If \(\frac{1}{2}\)x + 2y = 3 and \(\frac{3}{2}\)x and \(\frac{3}{2}\)x - 2y = 1, find (x + y)...
The locus of all points having a distance of 1 unit from each of the two fixed points a and b is...
Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a +...