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# A toy is in the form of a right circular cone .The base of the cone

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Director
Joined: 25 Dec 2018
Posts: 524
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
A toy is in the form of a right circular cone .The base of the cone  [#permalink]

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24 Mar 2019, 02:33
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:07) correct 40% (02:58) wrong based on 15 sessions

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A toy is in the form of a right circular cone .The base of the cone is placed perfectly on the base of the hemisphere. If the height of the cone is twice the radius of the cone and the sum of the height of the toy and the hemisphere is 15 centimeters, what is the volume of the hemisphere in cubic centimeters? (The volume of a sphere is 4/3πr^3, where r is the radius)

A. 100π/3
B. 125π/3
C. 250π/3
D. 500π/3
E. Cannot be determined
Intern
Joined: 24 Jun 2018
Posts: 35
Re: A toy is in the form of a right circular cone .The base of the cone  [#permalink]

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24 Mar 2019, 03:26
The only tricky part of this question is reading it correctly.

The toy is only the cone and not Cone + Hemisphere.

Let the radius of the hemisphere be r.

Hence height of toy ie. cone = 2r (Given)

Height of toy + Height of hemisphere = 15 cm
2r + r = 15
3r = 5
r = 5cm

Now vol of hemisphere is 2/3*pi*r^3

Vol of hemisphere is 2/3*pi*5^3

=250*pi/3

Hence C
Re: A toy is in the form of a right circular cone .The base of the cone   [#permalink] 24 Mar 2019, 03:26
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