Question
The surface area of a right circular cylinder is 3,696
cm² and its radius is 14 cm. If the height of the cylinder is described as (k + 10), what is the value of k²? (Use π = 22/7)Solution
ATQ,
Total surface area = 2 × π × r × (r + h)
⇒ 2 × (22/7) × 14 × (14 + height) = 3,696
⇒ 14 + height = 33
⇒ height = 19 cm
Now, k + 10 = 19
⇒ k = 9
Required value = 9² = 81
40 liters of milk are kept in a container. 10 liters were removed and replaced with water. This procedure was performed two more times. How much milk do...
In a class, the ratio of number of boys to number of girls is 13:9. If 2 boys joined the class and 6 girls left the class, then the ratio becomes 5:3. F...
Two years ago the ratio of annual salary of three friends P, Q and R is 4 : 3 : 5. Every year since then the salary of P, Q and R increases by 10%, 12% ...
The ratio of number of boys and girls in a factory of 460 workers is 7:3. How many more girls should be joined to make the ratio 1:1?
In College A, the ratio of boys to girls is 3:2, while in College B, the ratio is 7:3. If 20% of the boys from College A are undergraduates and 60% of t...
Total population of city P and Q is 4420 and 5940 respectively. If the ratio of number of males to females in city is P and Q is 8:5 and 5:4 respectivel...
Find the third proportional to 16 and 48?
A quantity p is directly proportional to quantity q. When p = 63, then q = 21. When q = 35, then find the value of p.
The ratio of number of boys and girls in a factory of 550 workers is 6:5. How many more girls should be joined to make the ratio 1:1?
Ratio of monthly income to monthly expenditure of A is 18:7, respectively and monthly savings of A is Rs. 2200. Find the monthly income of A.
Relevant for Exams:
