Answer:
volume of cylinder = 1232cm³
Step-by-step explanation:
from the question
volume of cylinder =?
height of the cylinder = 8cm
Base diameter of the cylinder = 14cm
to solve this problem we need to know the formula to calculate the volume of a cylinder
volume of cylinder = πr²h
or
volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.
D= 14cm
d = 14/2
d = 7cm
now,
volume of cylinder = π × (7)² × 8
volume of cylinder = 22/7 ×49 ×8
volume of cylinder = 22 × 7 × 8
volume of cylinder = 1232cm³
therefor the volume of the cylinder is equals to 1232cm³
Answer:
20/5
Step-by-step explanation:
hello I'm confused so yea
2 it will either land on heads or tails if you flip it once, hence 2 possible outcomes.
Answer:
1: 3\sqrt2 - \sqrt14
2: \sqrt21 - 2\sqrt(7)
3: 4\sqrt3 - \sqrt15
4: 2\sqrt5 - \sqrt10
5: -3 + 3\sqrt5
I already gave you these answers man
Step-by-step explanation:
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
