Formula for volume of cylinder is area of base time height
area of base equal pir^2 =3,14*(2,5)^2 = 3,14 *6,25 = 19,625 inches squared
V=area time height
170 = 19,625 *h
h = 170/19,625 = 8,662 inches
Answer:
Almonds = 400grams
Cashew = 300 grams
Step-by-step explanation:
Let the grams of cashew be represented by = C
the grams of almonds be represented by = A
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel
C + A = 700g ......Equation 1
C = 700 - A
If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg
Let's convert them to grams
1 kg = 1000grams
For almonds
= 288/1000 = 0.288g
For cashew
= 336/1000 = 0.336g
Hence,
0.288 × A + 0.336g × C = ₹216
0.288A + 0.336C = 216
From Equation 1, substitute 700 - A for C in Equation 2
0.288A + 0.336(700 - A) = 216
0.288A + 235.2 - 0.336A = 216
Collect like terms
0.288A - 0.336A = 216 - 235.2
- 0.048A = -19.2
A = -19.2/-0.048
A = 400 grams
Substitute 400g for a in Equation 1
C + A = 700g ......Equation 1
= C + 400g = 700g
C = 700g - 400g
C = 300g
Therefore, the number of grams of Almonds = 400grams
Cashew = 300 grams
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2) The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5). There are 18 outcomes in this event.
3) The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
