Spheres and Hemispheres: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

Which description defines a sphere in this lesson?

Answer choices for question 1 A Only the points strictly inside that surface B A filled circular disk in one plane C The surface of points a fixed positive distance from a center in space D A solid with two parallel circular bases
2

Which object includes both a sphere and the region it encloses?

Answer choices for question 2 A A ball B A great circle C A tangent plane D A radius
3

A sphere has radius 8 cm. What is the radius of a great circle?

Answer choices for question 3 A 4 cm B 8 cm C 16 cm D 64 cm
4

A ball has diameter 10 cm. What is its exact volume?

Answer choices for question 4 A $\frac{4000\pi}{3}\text{ cm}^3$ B $\frac{125\pi}{6}\text{ cm}^3$ C $100\pi\text{ cm}^3$ D $\frac{500\pi}{3}\text{ cm}^3$
5

A sphere has radius 4 cm. What is its surface area?

Answer choices for question 5 A $16\pi\text{ cm}^2$ B $64\pi\text{ cm}^2$ C $32\pi\text{ cm}^2$ D $256\pi\text{ cm}^2$
6

What volume does a hemisphere of radius 3 cm enclose?

Answer choices for question 6 A $36\pi\text{ cm}^3$ B $9\pi\text{ cm}^3$ C $18\pi\text{ cm}^3$ D $27\pi\text{ cm}^3$
7

A hemisphere has radius 6 cm. What is its curved area, excluding its flat base?

Answer choices for question 7 A $72\pi\text{ cm}^2$ B $36\pi\text{ cm}^2$ C $108\pi\text{ cm}^2$ D $144\pi\text{ cm}^2$
8

A solid hemisphere has radius 2 cm. What is its total boundary area, including the flat base?

Answer choices for question 8 A $4\pi\text{ cm}^2$ B $8\pi\text{ cm}^2$ C $16\pi\text{ cm}^2$ D $12\pi\text{ cm}^2$
9

A sphere has radius 2.5 cm. What is the circumference of a great circle?

Answer choices for question 9 A $2.5\pi\text{ cm}$ B $6.25\pi\text{ cm}$ C $5\pi\text{ cm}$ D $10\pi\text{ cm}$
10

A sphere radius is measured in centimeters. Which unit belongs to its surface area?

Answer choices for question 10 A $\text{cm}$ B $\text{cm}^2$ C $\text{cm}^3$ D degrees
11

A solid hemisphere has radius 7 cm. What is the area of its flat base?

Answer choices for question 11 A $98\pi\text{ cm}^2$ B $147\pi\text{ cm}^2$ C $196\pi\text{ cm}^2$ D $49\pi\text{ cm}^2$
12

A sphere has radius 5 cm. A plane is 4 cm from its center, measured perpendicularly. What is the section circle radius?

Answer choices for question 12 A 3 cm B 1 cm C 4 cm D $\sqrt{41}\text{ cm}$