In the figure, a solid consists of a hemisphere surmounte...
In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid
36\(\pi\)cm 3
54\(\pi\)cm 2
18\(\pi\)cm 2
108\(\pi\)cm 2
Correct answer is A
The volume of the solid = vol. of cone + vol. of hemisphere
volume of cone = \(\frac{1}{3} \pi r^2 h\)
= \(\frac{1 \pi}{3} \times (3)^2 x 6 = 18 \pi cm^2\)
vol. of hemisphere = \(\frac{4 \pi r^3}{6} = \frac{2 \pi r^3}{3}\)
= \(\frac{2 \pi}{3} \times (3)^3 = 18\pi cm^3\)
vol. of solid = 18\(\pi\) + 18\(\pi\)
= 36\(\pi\)cm3
Similar Questions
If a u2 - 3v2 and b = 2uv + v2 evaluate (2a - b)(a - b2), when u = 1 and v = -1...
If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?...
In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG, and FH are chords. If < FHG...
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car? ...
In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value of y...