a travel mug is shaped like a cylinder. it is 9cm wide and 15cm tall. find its volume to the nearest tenth. use 3.14 for pie.
v = (3.14) (9/2)^2 (15)
953.8 cm
To find the volume of the travel mug, we will use the formula for the volume of a cylinder:
V = πr^2h
Given that the travel mug is shaped like a cylinder, with a width of 9 cm, we can determine the radius as half of the width:
r = 9 cm / 2 = 4.5 cm
The height of the cylinder is given as 15 cm.
Now we can substitute the values into the formula:
V = 3.14 * (4.5 cm)^2 * 15 cm
V ≈ 3.14 * 20.25 cm^2 * 15 cm
V ≈ 954.675 cm^3
Rounding the volume to the nearest tenth, we get:
V ≈ 954.7 cm^3
Therefore, the volume of the travel mug is approximately 954.7 cm^3.
To find the volume of a travel mug shaped like a cylinder, you can use the formula:
Volume = π × r^2 × h
where π is approximately 3.14, r is the radius, and h is the height.
In this case, you're given the width instead of the radius. To convert the width to the radius, you need to divide it by 2. So, the radius (r) is 9cm ÷ 2 = 4.5cm.
Now, we can substitute the values into the formula:
Volume = 3.14 × (4.5cm)^2 × 15cm
First, square the radius: (4.5cm)^2 = 20.25cm^2.
Next, multiply the squared radius by the height: 20.25cm^2 × 15cm = 303.75cm^3.
When rounded to the nearest tenth, the volume of the travel mug is approximately 303.8cm^3.