It is currently 21 Feb 2018, 21:18

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A glass is shaped like a right circular cylinder with a half sphere at

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 18 Sep 2014
Posts: 1199
Location: India
A glass is shaped like a right circular cylinder with a half sphere at [#permalink]

### Show Tags

17 Feb 2016, 09:25
3
KUDOS
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:53) correct 32% (01:06) wrong based on 70 sessions

### HideShow timer Statistics

Attachment:

cup.png [ 2.74 KiB | Viewed 1170 times ]

A glass is shaped like a right circular cylinder with a half sphere at the bottom. The glass is 7cm deep and has a diameter of 6cm, measured on the inside. If the glass is filled to the rim with apple cider, how much cider is in the glass? The formula for the volume a sphere is $$\frac{4}{3}*\pi*r^3$$.

A. 18$$\pi$$
B. 36$$\pi$$
C. 54$$\pi$$
D. 81$$\pi$$
E. 108$$\pi$$
[Reveal] Spoiler: OA

_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.

My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773

Current Student
Joined: 20 Mar 2014
Posts: 2683
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
A glass is shaped like a right circular cylinder with a half sphere at [#permalink]

### Show Tags

17 Feb 2016, 09:38
1
This post was
BOOKMARKED
Nevernevergiveup wrote:
Attachment:
cup.png

A glass is shaped like a right circular cylinder with a half sphere at the bottom. The glass is 7cm deep and has a diameter of 6cm, measured on the inside. If the glass is filled to the rim with apple cider, how much cider is in the glass? The formula for the volume a sphere is $$\frac{4}{3}*\pi*r^3$$.

A. 18$$\pi$$
B. 36$$\pi$$
C. 54$$\pi$$
D. 81$$\pi$$
E. 108$$\pi$$

The glass volume is composed of 2 parts: hemispherical portion + cylindrical portion.

For the hemispherical portion, diameter = 6 cm ---> radius = r= 3 ---> volume of the hemisphere = volume of sphere /2 = $$0.5*\frac{4}{3}*\pi*r^3 = 18\pi$$

For the cylindrical part, heigh=h=7-3 = 4 and radius =3 ---> volume of the cylindrical portion $$= \pi*r^2*h = 36\pi$$

Thus the total volume =$$( 18+36 )\pi = 54\pi$$

C is thus the correct answer.

Hope this helps.

Last edited by ENGRTOMBA2018 on 17 Feb 2016, 09:50, edited 1 time in total.
Corrected the typo.
Retired Moderator
Joined: 18 Sep 2014
Posts: 1199
Location: India
A glass is shaped like a right circular cylinder with a half sphere at [#permalink]

### Show Tags

17 Feb 2016, 09:46
1
KUDOS
Engr2012 wrote:
Nevernevergiveup wrote:
Attachment:
cup.png

A glass is shaped like a right circular cylinder with a half sphere at the bottom. The glass is 7cm deep and has a diameter of 6cm, measured on the inside. If the glass is filled to the rim with apple cider, how much cider is in the glass? The formula for the volume a sphere is $$\frac{4}{3}*\pi*r^3$$.

A. 18$$\pi$$
B. 36$$\pi$$
C. 54$$\pi$$
D. 81$$\pi$$
E. 108$$\pi$$

The glass volume is composed of 2 parts: hemispherical portion + cylindrical portion.

For the hemispherical portion, diameter = 6 cm ---> radius = r= 3 ---> volume of the hemisphere = volume of sphere /2 = $$0.5*\frac{4}{3}*\pi*r^3 = 18\pi$$

For the cylindrical part, heigh=h=7-3 = 4 and radius =3 ---> volume of the cylindrical portion $$= \pi*r^2*h = 36\pi$$

Thus the total volume =$$( 18+36 )\pi = 54\pi$$

D is thus the correct answer.

Hope this helps.

54$$\pi$$ and option D are different. I understand it is a typo.
_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.

My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773

Non-Human User
Joined: 09 Sep 2013
Posts: 13802
Re: A glass is shaped like a right circular cylinder with a half sphere at [#permalink]

### Show Tags

13 Mar 2017, 08:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 01 Jul 2016
Posts: 3
Re: A glass is shaped like a right circular cylinder with a half sphere at [#permalink]

### Show Tags

13 Mar 2017, 09:14
Engr2012 wrote:
Nevernevergiveup wrote:
Attachment:
cup.png

A glass is shaped like a right circular cylinder with a half sphere at the bottom. The glass is 7cm deep and has a diameter of 6cm, measured on the inside. If the glass is filled to the rim with apple cider, how much cider is in the glass? The formula for the volume a sphere is $$\frac{4}{3}*\pi*r^3$$.

A. 18$$\pi$$
B. 36$$\pi$$
C. 54$$\pi$$
D. 81$$\pi$$
E. 108$$\pi$$

The glass volume is composed of 2 parts: hemispherical portion + cylindrical portion.

For the hemispherical portion, diameter = 6 cm ---> radius = r= 3 ---> volume of the hemisphere = volume of sphere /2 = $$0.5*\frac{4}{3}*\pi*r^3 = 18\pi$$

For the cylindrical part, heigh=h=7-3 = 4 and radius =3 ---> volume of the cylindrical portion $$= \pi*r^2*h = 36\pi$$

Thus the total volume =$$( 18+36 )\pi = 54\pi$$

C is thus the correct answer.

Hope this helps.

Sorry if I'm missing something obvious here, but how do we know to subtract 3 from the height of the glass?

Re: A glass is shaped like a right circular cylinder with a half sphere at   [#permalink] 13 Mar 2017, 09:14
Display posts from previous: Sort by