Answer:
Step-by-step explanation:
height h = 11 cm
slant height s = 11.180339887499 cm
side length a = 4 cm
lateral edge length e = 11.357816691601 cm
1/2 side length r = 2 cm
volume V = 58.666666666667 cm3
lateral surface area L = 89.442719099992 cm2
base surface area B = 16 cm2
total surface area A = 105.44271909999 cm2
Answer:
The remaining liquid has a volume of 345.4 cm³.
Step-by-step explanation:
To solve this question we first need to calculate the volume of each container.
Cylindrical:
Volume = h*pi*r² = 14*3.14*(5)² = 1099 cm³
Cone:
Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³
Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:
remaining liquid = 1099 - 753.6 = 345.4 cm³
Let’s try the pythagorean formula.
1) 8^2+15^2=17^2
289=289 Yes
2) 7^2+24^2=26^2
625 ≠ 676 No
3) 6^2+8^2=11^2
100 ≠ 121 No
4) 10^2+24^2=25^2
676 ≠ 625 No
Therefor, 8,15,17 is your answer
Answer:
$9.06
Step-by-step explanation:
We are told in the question that:
Shannon's aunt gave her a $10 gift card to Toys R Us for her birthday
Sales tax on the gift card = 9.4%
Sales tax = 9.4% × $10
Sales tax = $0.94
The price of the most expensive give Shannon can buy with this gift card is calculated as:
Price of the gift card - Sales tax
$10 - $0.94
=$ 9.06