Ideas on mathematics modal project... Topic (surface area and volumes)
Answers
civilization and Vedas to Modern times.
1. Aryabhata
Aryabhata worked on the place value system using letters to signify numbers and stating qualities. He discovered the position of nine planets and stated that these planets revolve around the sun. He also stated the correct number of days in a year that is 365. More on Aryabhata.
2. Brahmagupta
The most significant contribution of Brahmagupta was the introduction of zero(0) to the mathematics which stood for “nothing”. More on Brahmagupta.
3. Srinivasa Ramanujan
Srinivasa Ramanujan is one of the celebrated Indian mathematicians. His important contributions to the field include Hardy-Ramanujan-Littlewood circle method in number theory, Roger-Ramanujan’s identities in partition of numbers, work on algebra of inequalities, elliptic functions, continued fractions, partial sums and products of hypergeometric series.
More on Ramanujan.
4. P.C. Mahalanobis
Prasanta Chandra Mahalanobis is the founder of Indian Statistical Institute as well as the National Sample Surveys for which he gained international recognition.
5. C.R. Rao
Calyampudi Radhakrishna Rao, popularly known as C R Rao is a well known statistician, famous for his “theory of estimation.
Answer:
radhe radhe
Step-by-step explanation:
CUBOID
Let length = l, breadth = b and height = h units. Then
Volume = (l x b x h) cubic units.
Surface area = 2(lb + bh + lh) sq. units.
Diagonal = l2 + b2 + h2 units.
CUBE
Let each edge of a cube be of length a. Then,
Volume = a3 cubic units.
Surface area = 6a2 sq. units.
Diagonal = 3a units.
CYLINDER
Let radius of base = r and Height (or length) = h. Then,
Volume = (r2h) cubic units.
Curved surface area = (2rh) sq. units.
Total surface area = 2r(h + r) sq. units.
CONE
Let radius of base = r and Height = h. Then,
Slant height, l = h2 + r2 units.
Volume = r2h cubic units.
Curved surface area = (rl) sq. units.
Total surface area = (rl + r2) sq. units.
SPHERE
Let the radius of the sphere be r. Then,
Volume = r3 cubic units.
Surface area = (4r2) sq. units.
HEMISPHERE
Let the radius of a hemisphere be r. Then,
Volume = r3 cubic units.
Curved surface area = (2r2) sq. units.
Total surface area = (3r2) sq. units.
Note: 1 litre = 1000 cm³
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