Surface Area of Capsule Calculator

Base Radius

Height

Surface Area of Capsule Calculator

Do you need a quick and reliable way to calculate the surface area of a capsule? Our Capsule Surface Area Calculator is designed to give you instant and accurate results. Simply enter the base radius and height, and the tool automatically applies the correct formula to provide the total surface area. Whether you’re a student solving math problems, a teacher preparing lessons, or an engineer working on capsule-shaped designs, this calculator saves time and ensures precision every time.

What is a Capsule in Geometry?

In geometry, a capsule is a solid three-dimensional shape formed by a cylinder with a hemisphere at each end. It’s also called a spherocylinder. Capsules appear in real-world objects like pills, storage tanks, pressure vessels, bottles, and containers.

Formula: Surface Area = 2πr(2r + h) Where: r = base radius h = height of the cylindrical part

👉 This formula ensures that both cylindrical and spherical parts are covered.

How Does the Capsule Surface Area Calculator Work?

• Enter the base radius (r). • Enter the height (h) of the cylindrical section. • Click Calculate. • The calculator applies the formula 2πr(2r + h). • Instantly view the total surface area.

No manual calculations, no mistakes — just quick and accurate results.

Examples of Capsule Surface Area Calculations

Radius = 5 cm, Height = 10 cm

SA = 2π × 5 × (2×5 + 10) = 628.32 cm²

✅ So, Surface Area = 628.32 cm²

Radius = 7 cm, Height = 20 cm

SA = 2π × 7 × (14 + 20) = 1,495.40 cm²

✅ So, Surface Area ≈ 1,495.40 cm²

Radius = 3 cm, Height = 4 cm

SA = 2π × 3 × (6 + 4) = 188.50 cm²

✅ So, Surface Area ≈ 188.50 cm²

Radius = 10 cm, Height = 15 cm

SA = 2π × 10 × (20 + 15) = 2,199.11 cm²

✅ So, Surface Area ≈ 2,199.11 cm²

Radius = 8 cm, Height = 30 cm

SA = 2π × 8 × (16 + 30) = 2,312.21 cm²

✅ So, Surface Area ≈ 2,312.21 cm²

Features of Our Capsule Surface Area Calculator

✅ Accurate results using the correct formula 2πr(2r + h)

✅ Instant calculations with just two inputs

✅ Works for small and large values of radius and height

✅ Free to use, no sign-up required

✅ Mobile-friendly and easy-to-use interface

✅ Saves time and reduces errors in manual work

✅ Perfect for students, teachers, engineers, and professionals

Who Should Use This Calculator?

Students & Teachers – For geometry lessons, assignments, and exams

Engineers & Architects – For designing capsule-shaped tanks, pipes, and containers

Construction Professionals – For material estimation in capsule-based structures

Scientists & Researchers – For modeling capsules in physics, biology, and chemistry

DIY & Hobbyists – For projects involving capsule-like shapes

Why Use an Online Capsule Surface Area Calculator?

Manual calculations require multiple steps and careful handling of π, multiplication, and large values. Errors are common, especially when squaring numbers or combining terms. Our Capsule Surface Area Calculator eliminates this problem. With just the radius and height, it instantly delivers accurate results based on the correct formula. It’s simple, fast, and dependable.

Practical Applications

Mathematics & Education – Understanding 3D solids and surface area formulas

Architecture & Design – Capsule-shaped structures, domes, or tanks

Engineering – Modeling parts like pipes, reactors, or storage vessels

Biology & Chemistry – Capsules, cells, medicine pill designs

Everyday Life – Estimating surface area of bottles, containers, or craft projects

✅ The Capsule Surface Area Calculator is an essential tool for anyone working with 3D geometry. It delivers quick, precise, and reliable results every time.

👉 Try our Capsule Surface Area Calculator today on Hive Calculator and simplify all your capsule geometry calculations in seconds.