Question:
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?
Updated On: Nov 17, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
Radius of the capsule, r = \(\frac{3.5}{2}\) mm = 1.75 mm
Volume of a spherical capsule = (\(\frac{4}{3}\)) \(\pi\)r3
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 1.75mm × 1.75mm × 1.75mm
= 22.46mm3 (approx.)
Therefore, the volume of the spherical capsule is 22.46 mm3 .
Was this answer helpful?
0
0
Top Questions on Volume of a Sphere
- The volume of a sphere of radius r is obtained by multiplying its surface area with :
- CUET (UG) - 2023
- Mathematics
- Volume of a Sphere
- Match List I with List II
List-I
List-II
(A) Volume of cone (I) \(\frac{1}{3}\pi h(r_1^2+r_2^2+r_1r_2)\) (B) Volume of sphere (II) \(\frac{1}{3}\pi r^2h\) (C) Volume of Frustum (III) \(\pi r^2h\) (D) Volume of cylinder (IV) \(\frac{4}{3}\pi r^3\)
Choose the correct answer from the options given below:- CUET (UG) - 2023
- Mathematics
- Volume of a Sphere
- A solid metallic sphere of radius 6cm is melted and recasted into small solid balls of radius 0.6cm. Find the number of balls so formed.
- CUET (PG) - 2023
- Economics
- Volume of a Sphere
- The radius of a spherical ball is increasing at the rate of 1 m/sec. At the radius equal to 3m, the volume of the ball is increasing at the rate given by:
- CUET (UG) - 2023
- Mathematics
- Volume of a Sphere
- If the radius of a sphere is '2r' then the volume will be
- TS POLYCET - 2022
- Mathematics
- Volume of a Sphere
View More Questions
Questions Asked in CBSE Class IX exam
- Here is your diary entry when you visited Agra. Read the points and try to write a travelogue describing your visit to Agra and the Taj Mahal. You may add more details.
January 2003 — rise before dawn — take the Shatabdi Express at 6.15 a.m. from Delhi — meet a newly-married couple on train — talk about Himachal Pradesh — get off the train — enter the once-grand city, Agra — twisted alleys — traffic dense — rickshaws, cars, people — vendors selling religious artifacts, plastic toys, spices and sweets — go to the Taj Mahal — constructed entirely of white marble — magical quality — colour changes with varying of light and shadow — marble with gemstones inside — reflection of the Taj Mahal in the pond — school-children, tourists — tourist guides following people.- CBSE Class IX
- Kathmandu
- 1.The (site, cite) of the accident was (ghastly/ghostly).
2. Our college (principle/principal) is very strict.
3. I studied (continuously/continually) for eight hours.
4. The fog had an adverse (affect/effect) on the traffic.
5. Cezanne, the famous French painter, was a brilliant (artist/artiste).
6. The book that you gave me yesterday is an extraordinary (collage/college) of science fiction and mystery. 7. Our school will (host/hoist) an exhibition on cruelty to animals and wildlife conservation.
8. Screw the lid tightly onto the top of the bottle and (shake/shape) well before using the contents.- CBSE Class IX
- If I were you
- Is there any difference between the two roads as the poet describes them:
(i) in stanzas two and three?
(ii) in the last two lines of the poem?- CBSE Class IX
- The fun they had
- Discuss what these phrases mean to you.
(i) a yellow wood
(ii) it was grassy and wanted wear
(iii) the passing there
(iv) leaves no step had trodden black
(v) how way leads on to way- CBSE Class IX
- The fun they had
- A driver of a car travelling at \(52\) \(km \;h^{–1}\) applies the brakes Shade the area on the graph that represents the distance travelled by the car during the period. (b) Which part of the graph represents uniform motion of the car?
- CBSE Class IX
- Graphical Representation of Motion
View More Questions