Estimate the quotient629/8
1 answer:
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Surface area of the solid = 7.1781 in²
Volume of the solid = 0.804 in³
Explanation:
Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder
surface area of a square prism = 2(lw + lh + wh)
l = length = 1 in
w = length = 1 in
h = height = 1 in
using the value π as it is on the calculator
Base area of a cylinder = πr²
2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927
Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708
Surface area of the solid = 6 - 0.3927 + 1.5708
Surface area of the solid = 7.178 in²
Volume of the solid = Volume of the square prism - volume of the cylinder
Volume of square prism = length × width × height
length = 1 in, width = 1 in, height = 1 in
Volume of the solid = 1 in × 1 in × 1 in = 1 in³
Volume of a cylinder = πr²h
Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196
Volume of the solid = 1 - 0.196
Volume of the solid = 0.804 in³
Answer:
Regular price of a ticket = $60
Step-by-step explanation:
Given:
On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.
Anias paid the sale price of ticket = $54
To find the regular price of ticket.
Solution:
Let the regular price of ticket in dollars be
Discount offered for booking in advance = 10%
Discount amount in dollars =
Sale price of a ticket in dollars= Regular price - Discount amount=
Sale price given for a ticket = $54
So, we have:
Dividing both sides by 0.9
∴
∴ Regular price of a ticket = $60