Answer:
Step-by-step explanation:
Given data for the cone
height h= 4 in
radius r= 1 in
hence diameter d= 2 in
thickness of cone= 0.1 in
The volume of the cone including the shell can be expressed as
The volume of the ice cream can be expressed as
N/B: the diameter of the ice cream is
2-(0.1*2)= 2-0.2= 1.8 in
hence the radius is 0.9 in
The difference in volume is
Answer:
(x) =
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2 ( divide both sides by 2 )
= x
Change y back into terms of x and let x = (x), thus
(x ) =
Answer:
1) 32
2) 3
3) 135
Step-by-step explanation:
to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents
to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents
to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents
1) (·
·
) ÷ 2³
= 3
2) (15· 25j²
) ÷ 5³j³k³ = (375
) ÷ 125j³k³ = 3
3) (5 · 3³) = 135